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Pk Mdcat Mock 5 — Solved Past Paper with Answers

All 103 MCQs from Pk Mdcat Mock 5, solved with the correct answer highlighted and a full explanation for every question. This is a free MDCAT Other Regional past paper — no signup, no ads. Practise it interactively in timed mode, drill more with free MDCAT MCQs, or browse all Other Regional papers.

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Q1. Neither they nor their friend _ solved the question.

  • A. Has
  • B. Have
  • C. Was
  • D. Were

Explanation: In 'neither-nor' constructions, the verb agrees with the subject closest to it. In this sentence, the subjects are 'they' and 'their friend.' Since 'friend' is closest to the verb and is singular, the verb 'has' is the correct choice, as it aligns with the singular subject. The option 'have' is incorrect as it would require a plural subject. 'Was' and 'were' are incorrect as they do not fit the present tense context.

Why the other options are wrong
  • B. Incorrect. 'Have' is used with plural subjects, but 'friend' is singular.
  • C. Incorrect. 'Was' is a past tense verb and does not fit the present tense requirement of the sentence.
  • D. Incorrect. 'Were' is used with plural subjects in past tense contexts, but 'friend' is singular and the context is present tense.

Q2. She was feeling _ even after five hours of the surgery.

  • A. Mumbled
  • B. Haggard
  • C. Pally
  • D. Grope

Explanation: 'Mumbled' means to say something indistinctly and quietly, making it difficult for others to hear. 'Haggard' means looking exhausted and unwell, especially from fatigue, worry, or suffering. 'Pally' means having a close, friendly relationship. 'Grope' means to search blindly or uncertainly by feeling with the hands.

Q3. Identify errors in sentences:

  • A. Neither the men who are listed as administrators nor the woman who is also listed has been appointed to the board.
  • B. Neither the men who are listed as administrators nor the woman who is also listed have been appointed to the board.
  • C. Neither the men who are listed as administrators nor the women who are also listed has been appointed to the board.
  • D. Neither the men who is listed as administrators nor has the woman who is also listed been appointed to the board.

Explanation: When the subjects joined by or, nor, either ........ or, neither .........nor are of different persons, the verb agrees with the nearer.

Q4. Spot the error.If you lend him a book, he will lend it to someone else and never you will get it back.

  • A. If you lend him a book
  • B. He will lend it
  • C. To someone else
  • D. And never you will get it back

Explanation: Adverbs are placed after auxiliary verbs which include “will”. Hence, the correct option is "option D".

Why the other options are wrong
  • A. The segment “if you lend him a book” is correct because it properly introduces the conditional clause.
  • B. The phrase “he will lend it” is correct because it is the main clause of the conditional sentence. It follows the proper structure: “If [condition], [result]”. Changing it would make the sentence ungrammatical.
  • C. The phrase “to someone else” is correct because it clearly indicates the recipient of the book. It properly completes the verb “lend”, which requires an indirect object. Omitting or changing it would make the sentence unclear or grammatically incorrect.

Q5. Choose the right option to complete the following sentence:The plot of this story is so _ that I can predict the outcome.

  • A. Intricate
  • B. Pivotal
  • C. Trite
  • D. Fictitious

Explanation: The purpose of this sentence is to show the plot is very basic and repetitive. Trite will be the best word here as it refers to lacking originality, and something being dull due to overuse.

Why the other options are wrong
  • A. “Intricate” means complex, detailed, and complicated — the kind of plot that is hard to predict because many things are happening.So “intricate” is incorrect because it means complex, not predictable.
  • B. “Pivotal” means extremely important or central to the story — a turning point.A pivotal plot is significant, not predictable.But the sentence says the plot is so predictable that the outcome can be guessed. That meaning matches “trite,” which means unoriginal and overused.So “pivotal” is wrong because it suggests importance, not predictability.
  • D. “Fictitious” means not real / imaginary.It tells you whether a story is real or invented, not what its quality is like.So “fictitious” is incorrect because it does not relate to predictability.

Q6. Select the nearest correct meaning of the word given.Invidious

  • A. Unbreakable
  • B. Interesting
  • C. Unpleasant
  • D. Fair

Explanation: "Invidious" means (of an action or situation) likely to arouse or incur resentment or anger in others. This is closest in meaning to "unpleasant" which refers to causing discomfort, unhappiness, or revulsion; disagreeable (something that is likely to arouse or incur resentment or anger in others).

Why the other options are wrong
  • A. "Unbreakable" means not liable to break or able to be broken easily.
  • B. "Interesting" means arousing curiosity or interest; holding or catching the attention.
  • D. Being impartial and just, without favouritism or discrimination is called being fair.

Q7. His credulous nature often landed him in trouble.What does 'credulous' mean over here?

  • A. Dreamy
  • B. Naughty
  • C. Innocent
  • D. Willing to believe easily

Explanation: Credulous means being very naive, gullible, and innocent hence, having or showing too great a readiness to believe things. The correct meaning of "credulous" in the given context is option D) "Willing to believe easily." When describing someone as credulous, it means that they are prone to accepting things as true without questioning or doubting them. Consequently, their trusting and gullible nature can lead them into difficulties or problematic situations.

Why the other options are wrong
  • A. This term refers to someone who is lost in thought, imaginative, or having a tendency to daydream. It does not convey the same meaning as "credulous".
  • B. "Naughty" describes someone who is mischievous, disobedient, or inclined to engage in inappropriate behavior. It does not convey the same meaning as "credulous".
  • C. "Innocent" refers to someone who lacks knowledge or understanding of the complexities of a situation or is free from guilt or wrongdoing. It does not convey the same meaning as "credulous".

Q8. Choose the correct passive voice:How did she defraud him of his savings?

  • A. How had he been defrauded of his savings?
  • B. How had he been defrauded by her?
  • C. How was he defrauded of his savings?
  • D. How was he defrauded by her of his savings?

Explanation: This option correctly transforms the sentence into the passive voice by using the verb “was defrauded” indicating the action being done to the subject “he”. The prepositional phrase “of his savings” remains intact as it represents what was taken from him.

Why the other options are wrong
  • A. This option is in the past perfect passive voice. While it maintains the passive construction, it introduces the past perfect tense, suggesting that the action of being defrauded occurred before a certain point in the past.
  • B. This option also uses the past perfect passive voice, but it specifies the agent of the action by using the preposition “by her”. However, the original sentence does not mention or emphasize the agent of the fraud.
  • D. This option uses the passive voice and introduces the agent “by her”. This phrasing suggests that the savings were taken by the agent, which is not the intended meaning of the original sentence.

Q9. Read the passage. Then answer the questions below.Mona doesn’t like to ask people for help. But it is hard for her to perform daily activities on her own. She is almost 13, yet she is no larger than a 5-year-old. Mona has trouble keeping her balance and can’t walk very far. When she uses a wheelchair, she can’t push it herself.Fortunately, Mona has a wonderful service dog named Sam. A service dog is a dog that has been trained to assist someone who has a physical problem. Sam lets Mona lean on him when she walks. He also pulls her wheelchair and turns lights on and off. When Mona dropssomething, Sam picks it up. He even pulls her socks off at night. Sam also helps Mona with everyday tasks at school. He carries her books from class to class in a special backpack. He puts Mona’s completed assignments in her teachers’ homework trays. In the lunchroom he throws away her trash.Besides making Mona less dependent on other people, Sam helps her lead a fuller life.Mona’s classmates flock around Sam like geese. This has helped her make friends. Sam also helps Mona be more active. With his aid, she raised over $500 in a walk-a-thon for her local humane society. Because of Sam, Mona doesn’t have to ask people for help. Sam brings her closer to other kids. And he even helps her contribute to her community.In the passage, the author writes, “Mona’s classmates flock around Sam like geese.” Which of the following literary techniques is used in this sentence?

  • A. Allusion, characterized by a reference to, or representation of, people, places, events, literary work, myths, or works of art, either directly or by implication
  • B. Personification, characterized by giving human traits to nonhuman things, such as animals or objects
  • C. Irony, characterized by the use of words to express the opposite of their usual meaning
  • D. Simile, characterized by the making of a comparison using the words “like” or “as”

Explanation: The literary technique used in the sentence "Mona’s classmates flock around Sam like geese" is simile.A simile is a figure of speech that directly compares two different things using the words "like" or "as" to highlight a similarity between them. In this case, the author is comparing Mona's classmates gathering around Sam to the way geese gather together, emphasizing the large and interested group of classmates surrounding the service dog.

Why the other options are wrong
  • A. The sentence uses a simile because it directly compares Mona’s classmates to geese using the word “like.” It’s not an allusion, since it doesn’t refer to any famous story, event, or character — it’s simply a descriptive comparison.
  • B. It’s not personification because that gives human qualities to non-human things — but here, humans (classmates) are compared to geese, not the other way around. So it’s a simile, not personification.
  • C. It’s not irony because there’s no contrast between what’s said and what’s meant. The sentence isn’t sarcastic or opposite in meaning — it literally compares classmates to geese to show how they gather around Sam. So, it’s a simile, not irony.

Q10. Identify the mistake that needs to be corrected.We wished today was sunny so that we could spend the day in the country communicating with nature.

  • A. Was
  • B. So that
  • C. Could spend
  • D. In the country

Explanation: Instead of 'was', 'were' should have been used. We wish today were sunny..These phrases are never correct: I wish I was, I wish it was, he wishes he was, she wishes she was. Always remember this rule about the usage of was and were: use were with expressions that are hypothetical, wishful, imagined, desired, doubtful, and otherwise contrary to fact—that is to say, not real.

Why the other options are wrong
  • B. The word "so that" is used to introduce a purpose clause. It is a conjunction that shows the purpose of the action in the main clause. In this sentence, the main clause is "We wished today were sunny". The purpose clause is "so that we could spend the day in the country communicating with nature". The word "so that" is correct in this sentence.
  • C. The word "could" is used to indicate possibility. It is a modal verb that shows that the action is possible but not certain. In this sentence, the action is "spend the day in the country communicating with nature". The word "could" is correct in this sentence.
  • D. The word "in the country" is used to indicate location. It shows that the action is taking place in the countryside. In this sentence, the action is "spend the day communicating with nature". The word "in the country" is correct in this sentence.

Q11. Read the following passage to answer the given question;The fact that we were all as safe as kittens under a cook-stove did not, however, assuage in the least the fine despair and the grotesque desperation which seized upon the residents of the East Side when the cry spread like a grass fire that the dam had given way. Some of the most dignified, staid, cynical, and clear thinking men in town abandoned their wives, stenographers, homes, and offices and ran east. There are few alarms in the world more terrifying than 'The dam has broken!' There are few persons capable of stopping to reason when that clarion cry strikes upon their ears, even persons who live in towns no nearer than five hundred miles to a dam.The phrase "spread like a grass fire" means

  • A. Rapid spread
  • B. Firefighting
  • C. Grass growth
  • D. Dreadful sight
  • E. Hidden news

Explanation: The phrase 'spread like a grass fire' is a metaphor used to describe something that spreads very quickly and widely, akin to how a fire can rapidly move through dry grass. In the passage, it illustrates the swift dissemination of panic among the residents.

Why the other options are wrong
  • B. Firefighting refers to the act of putting out fires, which is unrelated to the context of how something spreads. Hence, this option is incorrect.
  • C. Grass growth refers to the natural process of grass growing, which is unrelated to the rapid spread implied by the phrase. Thus, this option is incorrect.
  • D. A dreadful sight refers to something visually terrifying, which does not relate to the concept of rapid spreading. Therefore, this option is incorrect.
  • E. Hidden news refers to information that is concealed, which contrasts with the idea of something spreading quickly. Thus, this option is incorrect.

Q12. Demonstrate correct use of articles and prepositions to clarify meaning:I advised her _ drink it.

  • A. Don't
  • B. Not to
  • C. To not
  • D. To don't

Explanation: A preposition must be placed before the adverb. Hence, the correct option is option B.

Why the other options are wrong
  • A. A and D are incorrect as the sentence already has a main verb. In a single clause we use 1 main verb. If a sentence has multiple clauses, each clause has its own main verb.
  • C. C is incorrect because the positioning of the adverb and preposition is wrong. Prepositions are written after adverbs.
  • D. A and D are incorrect as the sentence already has a main verb. In a single clause we use 1 main verb. If a sentence has multiple clauses, each clause has its own main verb.

Q13. Read the passage. Then answer the questions below.Mona doesn’t like to ask people for help. But it is hard for her to perform daily activities on her own. She is almost 13, yet she is no larger than a 5-year-old. Mona has trouble keeping her balance and can’t walk very far. When she uses a wheelchair, she can’t push it herself.Fortunately, Mona has a wonderful service dog named Sam. A service dog is a dog that has been trained to assist someone who has a physical problem. Sam lets Mona lean on him when she walks. He also pulls her wheelchair and turns lights on and off. When Mona drops something, Sam picks it up. He even pulls her socks off at night.Sam also helps Mona with everyday tasks at school. He carries her books from class to class in a special backpack. He puts Mona’s completed assignments in her teachers’ homework trays. In the lunchroom he throws away her trash.Besides making Mona less dependent on other people, Sam helps her lead a fuller life.Mona’s classmates flock around Sam like geese. This has helped her make friends. Sam also helps Mona be more active. With his aid, she raised over $500 in a walk-a-thon for her local humane society.Because of Sam, Mona doesn’t have to ask people for help. Sam brings her closer to other kids. And he even helps her contribute to her community.Which of the following would be the best title for this passage?

  • A. Why Mona Loses Her Balance
  • B. How Mona’s Service Dog Helps Her
  • C. Raising Money for the Humane Society
  • D. Why Mona is dependent

Explanation: The best title for this passage would be:"How Mona’s Service Dog Helps Her"This title encapsulates the central theme of the passage, which revolves around the role of Sam, the service dog, in assisting Mona with various daily activities and enhancing her life in multiple ways, including social interactions and community involvement.

Why the other options are wrong
  • A. This option is incorrect. The passage mentions Mona's balance issues, but it's not the main focus of the passage.
  • C. This option is incorrect. While the passage mentions Mona raising money for the humane society with Sam's help, it's not the main focus of the passage, which is the relationship between Mona and Sam and how Sam assists her.
  • D. This is incorrect as the main focus of the passage is on Mona and her service dog, Sam.

Q14. Answer on passage:The high school math department needs to appoint a new chairperson, which will be based on seniority. Ms. West has less seniority than Mr. Temple, but more than Ms. Brody. Mr. Rhodes has more seniority than Ms. West, but less than Mr. Temple. Mr. Temple doesn't want the job. Who will be the new math department chairperson?

  • A. Mr. Rhodes
  • B. Mr. Temple
  • C. Ms. West
  • D. Mr. Brody

Explanation: Mr. Temple has the most seniority, but he does not want the job. Next in line is Mr. Rhodes, who has more seniority than Ms. West or Ms. Brody.

Why the other options are wrong
  • B. This option is incorrect.Explanation: The passage explicitly states that Mr. Temple doesn't want the job. Therefore, Mr. Temple will not be the new math department chairperson.
  • C. This option is incorrect.Explanation: In the passage, there is no mention of anyone named "Mr. West." The information provided is about "Ms. West." Therefore, this option is not valid based on the information given.
  • D. This option is incorrect.Explanation: The passage doesn't provide any information about "Mr. Brody." The information given is about "Ms. Brody." Therefore, this option is not valid based on the information given.

Q15. Read the passage to answer the question:What is life? A little scum of no importance on the surface of an unimportant globe circling round a second-rate star? An accidental conglomeration of atoms which have come together by an odd chance, the result of an exceedingly improbable happening? That is what some astronomers would have us think. Looking out into the depth of space, they have discovered a universe of unthinkable dimensions. A billion suns in our own galaxy, beyond it perhaps abillion galaxies, only revealed to us as tiny smudges on aphotographic plate. No wonder they are impressed by the enormous disparity between the scaffolding and the result. Life seemed to be, as Jeans said, ‘an utterly unimportant by-product’ in a universe which was clearly not designed for life, and which, to all appearances, is either totally indifferent or definitely hostile to it’. It seemed ‘incredible that the universe can have been designed primarily to produce life like our own; had it been so, surely we have might expected to find a a better proportion between the magnitude of the mechanism and the amount of the product. The title of the passage can be:

  • A. Gathering of atoms
  • B. The life outside the earth
  • C. Universe and it's unneeded vastness
  • D. Life versus universe

Explanation: In this passage, the author can be seen talking about the majesty of the universe with respect to the existence of “life” in various respects. Hence the best title to this will be Life Versus Universe.

Q16. Spot the error in the following sentence. It should also help you to understand how can you make better use of the scientific method in your everyday living.

  • A. To understand
  • B. Can you
  • C. Use of
  • D. Living

Explanation: "can you": The phrase "can you" is grammatically incorrect in this sentence. It should be replaced with the word "to" to form a correct sentence. The corrected sentence would be: "how to." The underlined segment that contains the mistake is: "how can you make better use of the scientific method in your everyday living." The corrected sentence would be: "It should also help you understand how to make better use of the scientific method in your everyday life." Mistake: The phrase "can you" should be replaced with "to" to form a grammatically correct sentence.

Why the other options are wrong
  • A. To understand is the infinitive form of the verb "understand". It is used to express the purpose of the sentence. In this case, the sentence is saying that the information should help you to understand something.
  • C. The phrase "use of" is used correctly in the original sentence. It indicates the utilization or application of something, in this case, the scientific method. There doesn't seem to be a mistake in this segment.
  • D. Living is a noun that refers to the state of being alive. In this case, the noun is being used as an adjective to modify the noun "everyday". However, the correct form of the adjective is "life".

Q17. Given figures shows:

  • A. Structure of Lenticel
  • B. Hydathode showing gaseous vapour exchange
  • C. Fungus reproducing by spore formation
  • D. Algae reproducing by spore formation

Explanation: The figure shows the structure of 'Lenticel', which facilitates gaseous exchange and transpiration. These are aerating pores in the bark of woody trees. These are surrounded by loosely arranged thin walled complementary cells, enclosing intercellular spaces for gaseous exchange.

Q18. Four words are shown below:Branchioceranthus - sexual reproduction - nutritive - HydraThese words can be used in the spaces P, Q, R, and S to complete the sentence below:The coelenterates range in size from microscopic _P_ to macroscopic, _Q_, a hydrozoan polyp that may reach two meters in length. Cnidarians are found in two basic forms: the polyps and the medusae. Polyps are cylindrical animals, which in most cases are _R_ in function, hence named as gastrozooids. The medusae are umbrella-like in form. These are free-swimming. The medusae are involved in _S_ as they have gonads.

  • A. Option A
  • B. Option B
  • C. Option C
  • D. Option D

Explanation: Branchioceranthus is macroscopic and hydra is microscopic. P = Hydra Q =Branchioceranthus R = nutritive S= Sexual reproduction

Why the other options are wrong
  • A. This option is incorrect.
  • C. This is the incorrect option.
  • D. This is the incorrect option.

Q19. If lipopolysaccharides did not appear in the wall of bacteria on staining then it will be known as _.

  • A. Gram negative
  • B. Gram positive
  • C. Capsule
  • D. Both Gram positive & negative

Explanation: The Gram stain procedure distinguishes between Gram positive and Gram negative groups by coloring these cells red or violet. Gram positive bacteria stain violet due to the presence of a thick layer of peptidoglycan in their cell walls, which retains the crystal violet these cells are stained with. Alternatively, Gram negative bacteria stain pink, which is attributed to a thinner peptidoglycan wall, which does not retain the crystal violet during the decoloring process.Gram-positive bacteria do not contain lipopolysaccharides, but carry surface teichoic acids, lipoteichoic acids and peptidoglycan instead.The outer membrane of Gram-negative bacteria contains lipopolysaccharides, proteins, and phospholipids.The bacterial capsule is a large structure of many bacteria. It is a polysaccharide layer that lies outside the cell envelope, and is thus deemed part of the outer envelope of a bacterial cell.

Why the other options are wrong
  • A. Gram-negative bacteria have a thin peptidoglycan layer and an outer membrane containing lipopolysaccharides (LPS). If LPS did not appear on staining, it would suggest that the bacteria are not Gram-negative.
  • C. A capsule is a protective outer layer found on some bacteria, but it does not specifically refer to the presence or absence of lipopolysaccharides.
  • D. This is incorrect. Gram-negative bacteria specifically contain lipopolysaccharides in their outer membrane, so the absence of LPS would not suggest both Gram-positive and Gram-negative characteristics.

Q20. Spirochete is an example of which type of bacteria?

  • A. Aerobic
  • B. Facultative
  • C. Anaerobic
  • D. Both Options A and B are correct

Explanation: Spirochete are free-living non-pathogenic inhabitants of mud and water, typically thriving in anaerobic (oxygen-deprived) environments.

Why the other options are wrong
  • A. a) Aerobic, Aerobic bacteria are organisms that require oxygen for their survival and growth. They use oxygen as the final electron acceptor in their metabolic processes. Spirochetes, such as Treponema pallidum (the bacterium that causes syphilis) and Borrelia burgdorferi (the bacterium that causes Lyme disease), are examples of aerobic bacteria. These bacteria can thrive in environments where oxygen is present.
  • B. b) Facultative, Facultative bacteria are versatile organisms that can adapt to both aerobic and anaerobic conditions. They can switch between using oxygen and other electron acceptors (or none at all) depending on the availability of oxygen in their surroundings. Some facultative bacteria include Escherichia coli (E. coli) and Staphylococcus aureus. Spirochetes are not typically considered facultative bacteria because they are primarily aerobic, but some sources may categorize them as facultative due to their ability to survive in low-oxygen environments.
  • D. d) Both Options A and B are correct, This option is incorrect because Spirochetes are primarily aerobic bacteria, and they are not considered facultative organisms. So, neither Option A nor Option B is correct.

Q21. If more substrate is added to an already occurring enzymatic reaction, and more enzyme activity is seen, then this is because of which of the following?

  • A. There is probably more substrate present than there is enzyme
  • B. There is probably more product present than there is either substrate or enzyme
  • C. The enzyme substrate complex is probably failing to form during the reaction
  • D. There is probably more enzyme available than there is substrate

Explanation: When more substrate is added to already occurring enzymatic reaction and it is seen that activity has been increased this means that there are more enzyme available than substrate so that new added substrates make enzyme substrate complex with the available extra enzymes.OPTION A: If there is more substrate than there are enzymes than the product formation ceases and activity of enzyme decreases.OPTION B: It is not possible.OPTION C: One substrate, one enzyme forms one substrate complex and if more substrate is present than this complex fails to be formed.OPTION D: If more enzyme is available than substrate this means that there are more enzyme available than substrate so that new added substrates make enzyme substrate complex with the available extra enzymes.

Why the other options are wrong
  • A. If there is more substrate than there are enzymes than the product formation ceases and activity of enzyme decreases.
  • B. It is not possible. If more enzyme is available than substrate this means that there are more enzyme available than substrate so that new added substrates make enzyme substrate complex with the available extra enzymes.
  • C. One substrate, one enzyme forms one substrate complex and if more substrate is present than this complex fails to be formed.

Q22. Under the microscope, the bacteria appear a bluish-purple color. Which class of bacteria are on the slide?

  • A. Helix
  • B. Around
  • C. Rod
  • D. Rigid helix

Explanation: c) Rod: The correct answer is option (c) "Rod." Rod-shaped bacteria are also known as bacilli. They have a cylindrical or rod-like shape. When stained using the Gram stain technique, some rod-shaped bacteria appear bluish-purple under the microscope. The color is a result of the Gram stain's interaction with the bacterial cell wall, which helps in the classification of bacteria based on their cell wall composition.

Why the other options are wrong
  • A. a) Helix: Helix bacteria are spiral-shaped bacteria. They are coiled or spiraled, resembling a helix or corkscrew. Examples of helix bacteria include Spirochetes, which are slender, flexible, and motile bacteria. They are not necessarily bluish-purple in color under the microscope.
  • B. b) Around: The term "around" is not a class of bacteria. It might be a typographical error or not relevant to bacterial classification.
  • D. d) Rigid helix: "Rigid helix" is not a standard term in bacterial classification. Helix-shaped bacteria are generally described as flexible or helical, not necessarily "rigid helix."

Q23. Booklungs serve the function of respiration in:

  • A. Scorpion
  • B. Earthworm
  • C. Frog
  • D. Cockroaches

Explanation: A book lung is a type of respiration organ used for atmospheric gas exchange that is present in many arachnids, such as scorpions and spiders. Each of these organs is located inside an open ventral abdominal, air-filled cavity (atrium) and connects with the surroundings through a small opening for the purpose of respiration.

Why the other options are wrong
  • B. Earthworm is from phylum “Annelida”. It has no specialized respiratory organ so it uses its wet skin as a respiratory surface that offers enough surface area for efficient gas exchange.
  • C. Frogs are members of the phylum Chordata, characterized by having a notochord at some stage of development. They use three main organs for respiration: lungs, which allow gas exchange with the air; skin, which must stay moist to absorb oxygen; and the buccal cavity, which helps in ventilating the lungs and exchanging gases.
  • D. Cockroaches belong to the phylum Arthropoda, which includes invertebrates with segmented bodies and jointed appendages. They breathe through a specialized invaginated system called the tracheal system, where air enters through openings called spiracles and is delivered directly to tissues through branching tubes. This allows efficient oxygen delivery without using blood for transport.

Q24. The first viral disease namely _ was discovered in 1892.

  • A. Hepatitis
  • B. AIDS
  • C. Rabies
  • D. Tobacco mosaic disease

Explanation: Tobacco mosaic disease, caused by the tobacco mosaic virus, infects plants. It causes the leaves to become wrinkled, discolored, and mottled. It was discovered by Dmitry Ivanowsky.

Why the other options are wrong
  • A. The first viral disease, namely Tobacco mosaic disease, was discovered in 1892. It is caused by the tobacco mosaic virus (TMV), which affects plants, especially tobacco. Hepatitis, AIDS, and Rabies are viral diseases, but they were discovered at later dates.
  • B. The first viral disease, namely Tobacco mosaic disease, was discovered in 1892. It is caused by the tobacco mosaic virus (TMV), which affects plants, especially tobacco. Hepatitis, AIDS, and Rabies are viral diseases, but they were discovered at later dates.
  • C. The first viral disease, namely Tobacco mosaic disease, was discovered in 1892. It is caused by the tobacco mosaic virus (TMV), which affects plants, especially tobacco. Hepatitis, AIDS, and Rabies are viral diseases, but they were discovered at later dates.

Q25. The only promoter of leaf senescence among the following plant hormones is:

  • A. Gibberellins
  • B. Cytokinins
  • C. Auxins
  • D. Abscisic acid

Explanation: Abscisic acid promotes senescence.

Why the other options are wrong
  • A. Gibberellins delay leaf senescence (aging). They help in stem elongation, seed germination, and retaining chlorophyll in leaves. Therefore, they act as anti-senescence hormones.
  • B. Cytokinins are known to delay leaf senescence. They maintain protein and chlorophyll content, keeping leaves green and active for a longer time. Commonly used to preserve the freshness of cut flowers and leaves.
  • C. Auxins generally delay senescence in most plants. They promote growth and cell elongation, helping the leaf remain functional longer. In some species, their effect might vary, but they do not promote senescence.

Q26. Find the mass in grams of 1.69 mol of phosphoric acid:

  • A. 165.6 g
  • B. 157 g
  • C. 148 g
  • D. 138 g

Explanation: Moles = Mass / molar mass Moles x molar mass = mass in grams Molar mass of phosphoric acid H₃PO₄ = 98 g / mol 1.69 mol x 98 g /mol = mass in grams Mass = 165.6 g

Why the other options are wrong

    Q27. The expression for the radius of the nth orbit of a hydrogen atom was derived by:

    • A. Planks
    • B. Bohr
    • C. Rutherford
    • D. Einstein

    Explanation: The expression for the radius of the nth orbit of a hydrogen atom was derived by Bohr. According to Bohr's theory of the hydrogen atom, Bohr was able to derive the formula for the hydrogen spectrum using basic physics.

    Why the other options are wrong
    • A. The expression for the radius of the nth orbit of a hydrogen atom was not derived by Planks.
    • C. The expression for the radius of the nth orbit of a hydrogen atom was not derived by Rutherford.
    • D. The expression for the radius of the nth orbit of a hydrogen atom was not derived by Einstein.

    Q28. Which of the following catalysts is used in the industrial preparation of methanol?

    • A. Zinc oxide and alumina
    • B. Alumina and silica
    • C. Silica and Chromium oxide
    • D. Zinc oxide and Chromium oxide

    Explanation: The catalyst used in the industrial preparation of methanol is zinc oxide and chromium oxide. This mixture of catalysts is known as **the ** Raschig process. The Raschig process is a catalytic reduction of carbon monoxide to methanol. The reaction is carried out at high temperatures (573-673 K) and pressures (25-35 atm) in the presence of a catalyst. The catalyst promotes the reaction by providing a surface for the reactants to adsorb on and by lowering the activation energy of the reaction.

    Why the other options are wrong
    • A. Zinc oxide (ZnO) and alumina (Al₂O₃) are both metal oxides that have a wide range of applications. They are both white solids that are insoluble in water. Zinc oxide is a semiconductor, while alumina is an insulator.
    • B. Alumina and silica are both metal oxides that are used in a variety of industrial processes. They are typically used as supports for other catalysts, or as catalysts themselves. However, they are not typically used in the industrial preparation of methanol.
    • C. Silica and chromium oxide are also metal oxides, but they are not as commonly used as catalysts as alumina and silica. They have been studied for use in the industrial preparation of methanol, but they have not been shown to be as efficient as zinc oxide and chromium oxide.

    Q29. What is the unit of slope obtained from Arrhenius equation?(slope=-Ea/2.303R)

    • A.
    • B. J/mol K
    • C. K
    • D. Mol/K

    Explanation: The slope is given by -Ea/2.303R. The units for activation energy or Ea are Jmol−1 and those for R are JK−1mol−1. By dividing Ea by R, K is obtained which is the unit of the slope.

    Why the other options are wrong
    • A. The unit of the slope obtained from the Arrhenius equation, where the slope is given by \(-\frac{E_a}{2.303R}\), depends on the units of the activation energy (\(E_a\)) and the gas constant (\(R\)). If the activation energy is in joules (J) and the gas constant is in joules per mole per kelvin (J/(mol·K)), then the unit of the slope would be kelvins (K). Therefore this option is not correct.
    • B. The unit of the slope obtained from the Arrhenius equation, where the slope is given by \(-\frac{E_a}{2.303R}\), depends on the units of the activation energy (\(E_a\)) and the gas constant (\(R\)). If the activation energy is in joules (J) and the gas constant is in joules per mole per kelvin (J/(mol·K)), then the unit of the slope would be kelvins (K). Therefore this option is not correct.
    • D. The unit of the slope obtained from the Arrhenius equation, where the slope is given by \(-\frac{E_a}{2.303R}\), depends on the units of the activation energy (\(E_a\)) and the gas constant (\(R\)). If the activation energy is in joules (J) and the gas constant is in joules per mole per kelvin (J/(mol·K)), then the unit of the slope would be kelvins (K). Therefore this option is not correct.

    Q30. Rate = K [N2O5 ] has _ of reaction.

    • A. First order
    • B. Pseudo first order
    • C. Second order
    • D. Third order
    • E. Pseudo order

    Explanation: The order of the reaction is the sum of all the exponents of reactants in the rate equation. Since the sum of exponents of reactants in this equation is 1. The order of reaction, in this case, is equal to 1.

    Why the other options are wrong
    • B. According to the rate equation this option is not correct.The order of reaction is defined as the dependence of the concentration of all reactants in a chemical reaction on the rate law expression. The order of the reaction is equal to the sum of all the exponents or reactants in the rate equation. The sum of exponents in this rate equation is 1 so the order of reaction is also 1. A Pseudo first-order reaction can be defined as a second-order or bimolecular reaction that is made to behave like a first-order reaction. This reaction occurs when one reacting material is present in great excess or is maintained at a constant concentration compared with the other substance. For example, a reaction is given by the equation,A + B —-> C + DThis reaction is dependent upon the concentrations of both A and B but if one of the components is present in large excess, its concentration hardly changes as the reaction proceeds and it does not affect the amount of product So, if component B is in large excess and the concentration of B is very high as compared to that of A, the reaction is considered to be a pseudo-first-order reaction with respect to A, and only A affects the amount of product formed. Since the reaction we have been given is unimolecular it can not be pseudo first order so option B is incorrect.Only option A corresponds to the correct answer so all other options are incorrect.
    • C. According to the rate equation this option is not correct.The order of reaction is defined as the dependence of the concentration of all reactants in a chemical reaction on the rate law expression. The order of the reaction is equal to the sum of all the exponents or reactants in the rate equation. The sum of exponents in this rate equation is 1 so the order of reaction is also 1. A Pseudo first-order reaction can be defined as a second-order or bimolecular reaction that is made to behave like a first-order reaction. This reaction occurs when one reacting material is present in great excess or is maintained at a constant concentration compared with the other substance. For example, a reaction is given by the equation,A + B —-> C + DThis reaction is dependent upon the concentrations of both A and B but if one of the components is present in large excess, its concentration hardly changes as the reaction proceeds and it does not affect the amount of product So, if component B is in large excess and the concentration of B is very high as compared to that of A, the reaction is considered to be a pseudo-first-order reaction with respect to A, and only A affects the amount of product formed. Since the reaction we have been given is unimolecular it can not be pseudo first order so option B is incorrect.Only option A corresponds to the correct answer so all other options are incorrect.
    • D. According to the rate equation this option is not correct.The order of reaction is defined as the dependence of the concentration of all reactants in a chemical reaction on the rate law expression. The order of the reaction is equal to the sum of all the exponents or reactants in the rate equation. The sum of exponents in this rate equation is 1 so the order of reaction is also 1. A Pseudo first-order reaction can be defined as a second-order or bimolecular reaction that is made to behave like a first-order reaction. This reaction occurs when one reacting material is present in great excess or is maintained at a constant concentration compared with the other substance. For example, a reaction is given by the equation,A + B —-> C + DThis reaction is dependent upon the concentrations of both A and B but if one of the components is present in large excess, its concentration hardly changes as the reaction proceeds and it does not affect the amount of product So, if component B is in large excess and the concentration of B is very high as compared to that of A, the reaction is considered to be a pseudo-first-order reaction with respect to A, and only A affects the amount of product formed. Since the reaction we have been given is unimolecular it can not be pseudo first order so option B is incorrect.Only option A corresponds to the correct answer so all other options are incorrect.
    • E. According to the rate equation this option is not correct.The order of reaction is defined as the dependence of the concentration of all reactants in a chemical reaction on the rate law expression. The order of the reaction is equal to the sum of all the exponents or reactants in the rate equation. The sum of exponents in this rate equation is 1 so the order of reaction is also 1. A Pseudo first-order reaction can be defined as a second-order or bimolecular reaction that is made to behave like a first-order reaction. This reaction occurs when one reacting material is present in great excess or is maintained at a constant concentration compared with the other substance. For example, a reaction is given by the equation,A + B —-> C + DThis reaction is dependent upon the concentrations of both A and B but if one of the components is present in large excess, its concentration hardly changes as the reaction proceeds and it does not affect the amount of product So, if component B is in large excess and the concentration of B is very high as compared to that of A, the reaction is considered to be a pseudo-first-order reaction with respect to A, and only A affects the amount of product formed. Since the reaction we have been given is unimolecular it can not be pseudo first order so option B is incorrect.Only option A corresponds to the correct answer so all other options are incorrect.

    Q31. What is the major product of the nitration reaction below?

    • A. Option A
    • B. Option B
    • C. Option C
    • D. Option D

    Explanation: Since, NO2 is a meta-directing group, the incoming NO2 group would go on meta position. SInce, there is already one NO2 group at postion 3, so the second NO2 group will go on position 5.

    Why the other options are wrong
    • B. It is not formed by nitration of this reactant.
    • C. It is not formed by nitration of this reactant.
    • D. It is not formed by nitration of this reactant.

    Q32. Which of the following have the same number of molecules?

    • A. 200 cm2 of Carbon dioxide and 500 cm2 of oxygen
    • B. 300 cm2 of Carbon dioxide and 150 cm2 of oxygen
    • C. 300 cm2 of Carbon dioxide and 150 cm2 of oxygen
    • D. 300 cm2 of Carbon dioxide and 300 cm2 of oxygen

    Explanation: 300 cm2 of Carbon dioxide and 300 cm2 of oxygen would have the same number of molecules since the number of moles in question is equal, thus the number of molecules would also be the same.

    Why the other options are wrong

      Q33. One Calorie is equal to:

      • A. 4.18 kJ
      • B. 4.18 J
      • C. 0.418 KJ mol-1
      • D. 0.418 KJ

      Explanation: 1 calorie equals 4.18 J. It is very often confused with 1 kcal, which equals to 4.18 kJ

      Why the other options are wrong
      • A. 1 kilo calorie is equal to 4.18 kilojoules (kJ).This is the conversion factor commonly used in the context of nutrition and the energy content of food. It is also known as a kilocalorie (kcal).
      • C. This is not a valid conversion for a calorie. It looks like a molar quantity, but it doesn't correspond to the energy content of one calorie.
      • D. This is not the correct conversion for a calorie. The correct conversion is 4.18 kJ.

      Q34. Which step should be repeated over and over to get a variety of substituted products?

      • A. None of these
      • B. Termination
      • C. Propagation
      • D. Initiation

      Explanation: Radical chain reactions have three distinct phases: initiation, propagation, and termination. The initiation phase describes the step that initially creates a radical species. The propagation phase describes the ‘chain’ part of chain reactions. Once a reactive free radical is generated, it can react with stable molecules to form new free radicals. These new free radicals go on to generate yet more free radicals, and so on. This step, therefore, gives a variety of substituted products. The termination phase occurs when two free radical species react with each other to form a stable, non-radical adduct.

      Why the other options are wrong
      • A. This option is incorrect
      • B. This option is incorrect
      • D. This option is incorrect

      Q35. During oxidation of unsymmetrical ketones which atom is oxidized?

      • A. Carbonyl carbon
      • B. Carbon attached to smaller number of hydrogen atom
      • C. Carbon attach to larger number of hydrogen atoms
      • D. Hydrogen

      Explanation: The oxidation of unsymmetrical ketones involves the cleavage of the carbon-carbon bond adjacent to the carbonyl group. The carbon atom that is attached to fewer hydrogen atoms is more electron deficient and therefore more susceptible to oxidation. This carbon atom is oxidized, and the other carbon atom is reduced. The result is the formation of two different carboxylic acids.

      Why the other options are wrong
      • A. The carbonyl carbon is not oxidized during the oxidation of unsymmetrical ketones. The carbon atom that is attached to fewer hydrogen atoms is more electron deficient and therefore more susceptible to oxidation. This carbon atom is oxidized, and the other carbon atom is reduced. The result is the formation of two different carboxylic acids.
      • C. The carbon atom with a larger number of hydrogen atoms is not oxidized rather carbon atom with fewer hydrogen atoms is oxidized during the oxidation of unsymmetrical ketones. This is because the carbon atom with fewer hydrogen atoms is more electron-deficient and therefore more susceptible to oxidation. The oxidation involves the cleavage of the carbon-carbon bond adjacent to the carbonyl group. The result is the formation of two different carboxylic acids.
      • D. During the oxidation of unsymmetrical ketones, hydrogen atoms are not oxidized. The oxidation involves the cleavage of the carbon-carbon bond adjacent to the carbonyl group. The carbon atom with fewer hydrogen atoms is oxidized, and the other carbon atom is reduced. The result is the formation of two different carboxylic acids.

      Q36. If the lowest energy X-rays have λ = 4.0 x 10-8 m , estimating the minimum difference in energy between two Bohr orbit, where an electronic transition would correspond to the emission of an X-ray, at what minimum Z (atomic number) would a transition from the second energy level to the first result in the emission of an X-ray?

      • A. Z=2
      • B. Z=3
      • C. Z=4
      • D. Z=5

      Explanation: The energy of a photon emitted during a transition between two energy levels in a Bohr atom is given by the equation: △E = λhc = 6.63×10-34 J·s × 3.00×108 m/s / 4.0×10-8 m = 4.97×10-15 J. For a hydrogen-like ion, the energy difference between levels n=2 and n=1 is △E = 13.6 eV × Z2 × (1/n12 - 1/n22), where n1 = 1 and n2 = 2. Calculating for Z=2 gives the energy close to the X-ray energy calculated, thus confirming helium (Z=2) as correct. For higher Z values, the energy difference exceeds the given X-ray energy, eliminating options B, C, and D.

      Why the other options are wrong
      • B. For Z=3, the energy difference between n=2 and n=1 is larger than the energy of the given X-ray wavelength, which means this transition results in the emission of a higher energy X-ray than provided.
      • C. In the case of Z=4, the energy difference between levels n=2 and n=1 is even greater compared to Z=3, thus resulting in even higher energy X-rays than those specified in the question.
      • D. With Z=5, the energy transition between n=2 and n=1 levels yields even higher energy X-rays than those mentioned, making it less relevant to the provided wavelength.

      Q37. If a graph is plotted between pressure on x- axis and volume on y- axis for Boyle's law verification, the curve obtained is called

      • A. Pseudotherm
      • B. Isotherm
      • C. Biotherm
      • D. All of these

      Explanation: If a graph is outlined in between pressure on the x-axis (abscissa) and volume on the y-axis (ordinate), then a curve is obtained. This curve is called isotherm 'iso' implies the same, “therm” implies heat.

      Why the other options are wrong
      • A. This term is not commonly used in the context of gas laws. It doesn't represent any specific concept related to Boyle's Law or the graphical representation of pressure and volume.
      • C. The term "biotherm" is not related to Boyle's Law or the graphical representation of pressure and volume. It does not have significance in the context of gas laws.
      • D. This option is incorrect.

      Q38. This is is a structure of

      • A. Menadione
      • B. 𝛂 - Tocopherol
      • C. Calciferol
      • D. Thiamine
      • E. Pyridoxine

      Explanation: The above structure is of Menadione.

      Why the other options are wrong
      • B. This option is incorrect.The given structure is the structure of menadione, which is the chemical name of vitamin K.
      • C. This option is incorrect. The given structure is the structure of menadione, which is the chemical name of vitamin K.
      • D. The given structure is the structure of menadione, which is the chemical name of vitamin K..
      • E. This option is incorrect. The given structure is the structure of menadione, which is the chemical name of vitamin K.

      Q39. Formation of Hydrogen molecule according to VBT theory involves overlap of:

      • A. 1s orbital
      • B. 2s orbital
      • C. 2p orbital
      • D. 2px orbital

      Explanation: Valence bond theory describes bonding as a consequence of the overlap of two separate atomic orbitals on different atoms that creates a region with one pair of electrons shared between the two atoms. It involves 1s orbital because unpaired orbitals in the valence shells of two adjoining atoms can combine to form a chemical bond if they overlap significantly.

      Why the other options are wrong
      • B. Hydrogen atoms do not have 2s orbitals. They only have 1s orbitals.
      • C. Hydrogen atoms do not have 2p orbitals. The 2p orbitals are found in heavier elements in the periodic table.
      • D. Similarly, hydrogen atoms do not have 2px orbitals. The 2px orbitals are specific to elements beyond hydrogen.

      Q40. The unit cell parameters of the monoclinic system are:

      • A. a=b≠c ; α=β=γ=90
      • B. a≠b≠c ; α=γ=90 ; β≠90
      • C. a≠b=c ; α=β=90; γ≠90
      • D. a=b=c ; α=β=γ=90

      Explanation: The monoclinic crystal system is characterized by three unequal axes, with two of them being perpendicular (α=γ=90°) and the third angle (β) differing from 90°. This distinguishes the monoclinic system from others where either all axes are equal or all angles are right angles. Option B correctly represents this with a≠b≠c ; α=γ=90° ; β≠90°. Options A, C, and D describe tetragonal, orthorhombic, and cubic systems, respectively, which do not fit the monoclinic parameters.

      Why the other options are wrong
      • A. This describes a tetragonal system where two axes are equal, and all angles are right angles.
      • C. This represents an orthorhombic system, not hexagonal, where all angles are right angles but sides are unequal.
      • D. This describes a cubic system where all sides and angles are equal.

      Q41. Which one among the following is the strongest reducing agent:Fe2+ + 2e -> Fe (-0.44V)Sn2+ + 2e -> Sn (-0.14 V)Ni2+ + 2e -> Ni (0.25 V)Fe3+ + e -> Fe2+ (-0.77 V)

      • A. Fe3+
      • B. Ni2+
      • C. Fe2+
      • D. Sn2+

      Explanation: The half-reaction for Fe²⁺ to Fe has a reduction potential of -0.44 V. A more negative reduction potential indicates that Fe²⁺ is a stronger reducing agent, meaning it is more readily oxidized. Therefore, Fe²⁺ is the strongest reducing agent among the options provided.

      Why the other options are wrong
      • A. The half-reaction for Fe³⁺ to Fe²⁺ has a reduction potential of -0.77 V, which is even more negative than that of Fe²⁺. However, Fe³⁺ is actually an oxidizing agent (since it accepts electrons to become Fe²⁺), not a reducing agent.
      • B. The half-reaction for Ni²⁺ to Ni has a reduction potential of +0.25 V, which is positive. A positive potential indicates a stronger oxidizing agent, not a reducing agent. So, Ni²⁺ is not the strongest reducing agent.
      • D. The half-reaction for Sn²⁺ to Sn has a reduction potential of -0.14 V, which is less negative than Fe²⁺. This means that Sn²⁺ is a weaker reducing agent than Fe²⁺.

      Q42. The strength of an acid depends on?

      • A. Ease of removal of proton
      • B. Stability of the anion formed
      • C. Stability of the cation formed
      • D. Depends on both ease of removal of proton and stability of the anion formed

      Explanation: The correct option is: Depends on both ease of removal of a proton and stability of the anion formed.Explanation:The strength of an acid is determined by its ability to donate a proton (H+) in a chemical reaction. This is often represented by the equation:Acid (AH) ⇌ H+ + Anion (A-)In this equation, the acid (AH) donates a proton (H+) to form the conjugate base or anion (A-). The strength of an acid is influenced by two main factors:Ease of removal of a proton: The more readily an acid can donate a proton, the stronger it is. Acids with weak bonds between hydrogen and the rest of the molecule are more likely to lose the proton and, thus, are stronger acids.Stability of the anion formed: After the acid donates its proton, the resulting anion (conjugate base) is formed. A stable anion is better able to handle the negative charge that results from gaining an electron. An unstable or highly reactive anion will make the acid weaker.Together, these factors play a crucial role in determining the strength of an acid. Acids with both a high tendency to release protons (ease of removal of a proton) and produce stable anions are considered strong acids. On the other hand, weak acids have a lower tendency to donate protons and/or form less stable anions.In summary, the strength of an acid depends on both the ease of removal of a proton and the stability of the anion formed after the proton donation.

      Why the other options are wrong
      • A. Ease of removal of a proton: The more readily an acid can donate a proton, the stronger it is. Acids with weak bonds between hydrogen and the rest of the molecule are more likely to lose the proton and, thus, are stronger acids.
      • B. Stability of the anion formed: After the acid donates its proton, the resulting anion (conjugate base) is formed. A stable anion is better able to handle the negative charge that results from gaining an electron. An unstable or highly reactive anion will make the acid weaker.
      • C. Stability is not created by cation formation.

      Q43. Which of following has "higher boiling"and "melting point"?

      • A. Acetone
      • B. 2 - Butanol
      • C. Propane
      • D. 2 - Methylpropene

      Explanation: OPTION A: Acetone has a boiling point of 56.5°C and a melting point of -94.9°C. It is a relatively small molecule and lacks the ability to form hydrogen bonds, resulting in weaker intermolecular forces.OPTION B: 2-butanol has a higher molecular size and the presence of an -OH group, allowing for intermolecular hydrogen bonding. Hydrogen bonding leads to stronger intermolecular forces, resulting in higher boiling and melting points. 2-butanol has a boiling point of 99.5°C and a melting point of -114.5°C.Hence, B is the correct option.OPTION C: Propane (C3H8) is a small molecule with weak London dispersion forces between its nonpolar molecules. It has a boiling point of -42.1°C and a melting point of -187.7°C.OPTION D: 2-methyl propene (also known as isobutylene) (C4H8) is also a small molecule with weak intermolecular forces. It has a boiling point of -6.9°C and a melting point of -159.7°C.

      Why the other options are wrong
      • A. Acetone has a boiling point of 56.5°C and a melting point of -94.9°C. It is a relatively small molecule and lacks the ability to form hydrogen bonds, resulting in weaker intermolecular forces.
      • C. Propane (C3H8) is a small molecule with weak London dispersion forces between its nonpolar molecules. It has a boiling point of -42.1°C and a melting point of -187.7°C.
      • D. 2-methyl propene (also known as isobutylene) (C4H8) is also a small molecule with weak intermolecular forces. It has a boiling point of -6.9°C and a melting point of -159.7°C

      Q44. If the e/m value of electron is 1.7588 x 1011 C/kg, then what would be the mass of electron in grams (charge on electron is 1.6022 x 10-19 coulombs)?

      • A. 9.1095 x 10-31 g
      • B. 91.095 x 10-31 g
      • C. 9.1095 x 10-28 g
      • D. 0.919095 x 10-33 g

      Explanation: If e/m is equal to 1.7588x10^11 and the charge on an electron is 1.6 x10^-19 then the mass can be calculated as: 1.7588x10^11=1.6x10^-19/m m-9.109 x 10^-31kg. In g, 9.1x10^-28 g As it is numerical, it can have only one possible answer.

      Why the other options are wrong
      • A. False.If e/m is equal to 1.7588x10^11 and the charge on an electron is 1.6 x10^-19 then the mass can be calculated as: 1.7588x10^11=1.6x10^-19/m m-9.109 x 10^-31kg. In g, 9.1x10^-28 g
      • B. False.If e/m is equal to 1.7588x10^11 and the charge on an electron is 1.6 x10^-19 then the mass can be calculated as: 1.7588x10^11=1.6x10^-19/m m-9.109 x 10^-31kg. In g, 9.1x10^-28 g
      • D. Incorrect.If e/m is equal to 1.7588x10^11 and the charge on an electron is 1.6 x10^-19 then the mass can be calculated as: 1.7588x10^11=1.6x10^-19/m m-9.109 x 10^-31kg. In g, 9.1x10^-28 g

      Q45. The molecular structure of a hydrocarbon is shown below.

      • A. Option A
      • B. Option B
      • C. Option C
      • D. Option D

      Explanation: B is a structural isomer of the structure shown above. Structure in A is the same as the structure shown. Structure C is not an isomer because it does not have the same number of carbon and hydrogen atoms as in the diagram shown. Structure D has a double bond that reduces two hydrogen atoms from it as compared to the structure shown that is why D can not also be an isomer of the diagram shown above.

      Q46. A photon of wavelength 12.7 x 1015 m is emitted when it jumps from higher to n = 1, what will be a higher orbit?

      • A. n = 2
      • B. n = 3
      • C. n = 4
      • D. n = 5

      Explanation: Option A is wrong because n=2 will not be the higher orbit. Option B is wrong because n=3 will not be the higher orbit. Option: C Rydberg's Formula: Rydberg's Formula, 1 λ = Rh ( 1/n21 − 1/n22), relates the wavelength of a photon emitted or absorbed by an electron transition.

      Why the other options are wrong
      • A. This option is wrong because n=2 will not be the higher orbit.
      • B. This option is wrong because n=3 will not be the higher orbit.
      • D. This option is incorrect.

      Q47. The compression factor (compressibility factor) for one mole of a Van der Waals gas at 00 C and 100 atmosphere pressure is found to be 0.5. Assuming that the volume of the gas molecule is negligible, calculate the Van der Waals constant 'a'.

      • A. 1.254
      • B. 2.87
      • C. 3.76
      • D. 1.34

      Explanation: This is the following solution.

      Why the other options are wrong
      • B. According to the solution, this is not the correct answer.
      • C. According to the solution, this is not the correct answer.
      • D. According to the solution, this is not the correct answer.

      Q48. A diabetic person’s exhaled breath contains propanone. A student tries to test the diabetes by asking the person to bubble the reagent with his exhaled breath. Which of the following reagents would give a positive result?

      • A. Aqueous Bromine
      • B. Fehling’s reagent
      • C. Tollen’s reagent
      • D. Alkaline aqueous iodine

      Explanation: Propanone contains the R-CO-CH3 group hence it gives a positive triiodomethane or iodoform test. Iodoform test is used to check the presence of carbonyl compounds with the structure R-CO-CH3 or alcohols with the structure R-CH(OH)-CH3 in a given unknown substance. The reaction of iodine, a base, and a methyl ketone gives a yellow precipitate along with an “antiseptic” smell.

      Why the other options are wrong
      • A. Bromine water is used to test for unsaturation (C=C double bonds).Propanone is a saturated compound (no C=C), so it does not react.
      • B. Fehling’s test is used to detect reducing sugars and aldehydes.Ketones (like propanone) do not react, so this test is not suitable.
      • C. Tollen’s test is used to detect aldehydes, not ketones.Propanone (a ketone) does not react, so it won’t give a positive test.

      Q49. Born Haber cycle is used to determine:

      • A. Electron affinity
      • B. Lattice energy
      • C. Crystal energy
      • D. Both B and C

      Explanation: The Born-Haber cycle is a thermochemical cycle that allows us to calculate the lattice energy of an ionic compound by considering the various energy changes involved in its formation. It uses Hess's Law to sum the enthalpy changes for individual steps, including ionization energy and electron affinity. Option A, 'Electron affinity,' while related to the cycle, does not represent the main purpose of the Born-Haber cycle, which focuses on lattice energy. Option C, 'Crystal energy,' is not a recognized term and does not apply, making it incorrect. Option D is also incorrect as it includes the invalid term 'crystal energy.' Thus, the correct and most relevant answer is Option B, 'Lattice energy,' as it directly corresponds to the primary purpose of the Born-Haber cycle.

      Why the other options are wrong
      • A. Electron affinity refers to the energy change when an electron is added to a neutral atom to form a negatively charged ion. While the Born-Haber cycle does involve electron affinity in its calculations, it is primarily used to determine lattice energy.
      • C. The term 'crystal energy' is not recognized in the context of the Born-Haber cycle. Instead, lattice energy is the correct term used to describe the energy associated with the formation of the crystal lattice in ionic compounds.
      • D. This option is misleading since 'crystal energy' is not a valid term in this context. The Born-Haber cycle is primarily used to calculate lattice energy, not both lattice and crystal energy.

      Q50. Which of the following compounds possesses a single covalent bond between carbon and hydrogen?

      • A. CH4
      • B. C2H2
      • C. C2H4
      • D. All of the above

      Explanation: All of the compounds contain a single covalent bond between carbon and hydrogen atoms. Only that C2H2 and C2H4 contain triple and double bonds between carbon atoms respectively.

      Why the other options are wrong
      • A. CH4 (Methane): Methane has a central carbon atom bonded to four hydrogen atoms. Each carbon-hydrogen bond is a single covalent bond.
      • B. C2H2 (Ethyne/Acetylene): Ethyne has a triple bond between the two carbon atoms and a single bond between each carbon and a hydrogen atom.
      • C. C2H4 (Ethene/Ethylene): Ethene has a double bond between the two carbon atoms and single bonds between each carbon and two hydrogen atoms.

      Q51. Which of the following reactions is used for the production of alcohols on industrial scale?

      • A. Hydrogenation of alkenes
      • B. Hydration of alkenes
      • C. Hydrohalogenation of alkenes
      • D. Hydroxylation of alkenes

      Explanation: Option A describes a reaction that produces alkanes from alkenes.Option B describes a reaction that produces alcohol from alkenes so, it is correct.Option C describes a reaction that produces alkyl halides from alkenes.Option D describes a reaction that produces glycol from alkenes, which is a type of alcohol but not the type that is produced on an industrial scale for commercial use.

      Why the other options are wrong
      • A. Hydrogenation of alkenes: Hydrogenation involves the addition of hydrogen (H-H) across the double bond of an alkene, resulting in an alkane. This removes the double bond, but it does not introduce an alcohol (-OH) group. The product is a saturated hydrocarbon, not an alcohol.
      • C. Hydrohalogenation of alkenes: Hydrohalogenation involves the addition of a hydrogen halide (e.g., HCl, HBr) across the double bond of an alkene. This results in the formation of an alkyl halide, where a halogen atom (Cl, Br, etc.) is attached to the carbon. While this introduces a functional group, it is not an alcohol (-OH) group.
      • D. Hydroxylation of alkenes: Hydroxylation adds two hydroxyl (-OH) groups across the double bond of an alkene, resulting in a vicinal diol (a molecule with two -OH groups on adjacent carbons). While this does produce alcohols, it's not the primary method for producing simple alcohols on an industrial scale. Furthermore, the term "hydroxylation" usually implies the addition of two -OH groups, not just one.

      Q52. Paramagnetic behaviour of transition elements is due to the presence of:

      • A. s electrons
      • B. Unpaired electrons
      • C. Paired electrons
      • D. Outer d electrons

      Explanation: Option B is correct as paramagnetism (the ability of a material to be weakly attracted to a magnet due to its magnetic field, which induces an internal magnetic field of the material) is caused by the presence of "unpaired electrons", with each electron having a magnetic moment associated with its spin angular momentum and orbital angular momentum.

      Why the other options are wrong
      • A. Option A (s electrons) is incorrect because paramagnetic behavior in transition elements arises mainly from the presence of unpaired d electrons, not s electrons.
      • C. Option C (Paired electrons) is incorrect because paramagnetic behavior occurs when there are unpaired electrons, not paired ones, which are responsible for magnetic moments.
      • D. Option D (Outer d electrons) is incorrect because paramagnetic properties depend on the presence of unpaired electrons in the inner d orbitals, not just the outermost ones.

      Q53. A 4s orbital has:

      • A. One node
      • B. Two nodes
      • C. three nodes
      • D. O nodes

      Explanation: 4s orbital has 3 radial nodes plus 0 angular nodes

      Q54. The flavour of amyl butyrate is:

      • A. Mango
      • B. Raspberry
      • C. Apricot
      • D. Orange

      Explanation: c) Apricot: Amyl butyrate is often used to impart an apricot-like aroma and flavor. Therefore, the flavor of amyl butyrate can be described as apricot-like.

      Why the other options are wrong
      • A. a) Mango: Amyl butyrate is a chemical compound with a fruity odor and flavor. While it may have a slight resemblance to the aroma of mangoes, it is not specifically associated with mango flavor.
      • B. b) Raspberry: Amyl butyrate does not have a characteristic raspberry flavor. Raspberry flavor is typically associated with other compounds.
      • D. d) Orange: Amyl butyrate is not commonly associated with an orange flavor. Orange flavor is usually attributed to other compounds found in oranges.

      Q55. The IUPAC name of the following compound is:

      • A. 1-Ethyl-2, 4-dimethlycyclohexane
      • B. 2-Ethyl-1,4-dimethylcyclohexene
      • C. 2-Ethyl-1, 1-dimethylcyclohexane
      • D. 4-Ethyl-1, 2-dimethylcyclohexane

      Explanation: The IUPAC name of the compound is 1-ethyl-2,4-dimethylcyclohexane. The parent compound is cyclohexane. The carbon to which ethyl is attached is considered carbon 1 according to alphabetical order. The two methyl groups are on carbon 2 and 4 respectively.

      Why the other options are wrong
      • B. It is incorrect as the carbon numbers to which the ethyl and methyl groups are attached is wrong.
      • C. It is incorrect as the carbon numbers to which the groups are attached are incorrect.
      • D. It is incorrect as going down the chains, methyl only has hydrogen atoms attached to it, whereas ethyl has two hydrogen atoms and a carbon atom. The carbon atom on the ethyl is the first point of difference and has a higher atomic number than hydrogen; therefore the ethyl takes priority over the methyl.The priority sequence is then, ethyl(1), methyl(2), and hydrogen(3).

      Q56. The cation that distort the electron cloud of NO3− ion more and facilitates its decomposition is:

      • A. Li+
      • B. Mg2+
      • C. Cs+
      • D. Be2+

      Explanation: Polarizability refers to the ability of a cation to distort the electron cloud of an anion in an ionic compound and the anionic cloud is pulled towards the cation when it gets distorted. According to Fajan’s rule, the greater charge density(charge/size) on a cation leads to greater distortion. Due to higher charge and smaller size, the charge density of Be++ is and so it will distort the electron cloud of NO3- more facilitating its decomposition.

      Why the other options are wrong
      • A. Li+ has a small size but a single positive charge. This results in relatively low charge density compared to doubly charged cations, limiting its ability to significantly polarize the NO3− ion.
      • B. Mg2+ has a larger ionic radius, resulting in a lower charge density compared to smaller cations with the same charge. This makes it less effective at polarizing the NO3− ion.
      • C. Cs+ has a very large ionic size and a single positive charge, leading to very low charge density, making it the least effective at polarizing NO3−.

      Q57. Enthalpy of a compound is equal to its

      • A. Heat of combustion
      • B. Heat of formation
      • C. Heat of solution
      • D. Heat of dilution

      Explanation: The standard enthalpy of formation or standard heat of formation of a compound is the change of enthalpy during the formation of 1 mole of the substance from its constituent elements, so the answer is B. The enthalpy of combustion of a substance is defined as the heat energy given out when one mole of a substance burns completely in oxygen. The heat of solution also referred to as the enthalpy of solution or enthalpy of dissolution, is the enthalpy change associated with the dissolution of a solute in a solvent heat of dilution, or enthalpy of dilution, refers to the enthalpy change associated with the dilution process of a component in a solution.

      Q58. If the total energy of an electron in the first shell of an H-atom is –13.6 eV, then its potential energy in the 1st excited state would be:

      • A. +6.8 eV
      • B. +20.4 eV
      • C. – 6.8 eV
      • D. +3.4 eV

      Explanation: This is the following solution:The energy of an electron in its nth orbit = -13.6/n2. For first excited state n=2 T.E in first excited state = -13.6/4 = -3.4 eV P.E = - 2ke2/r T.E = -ke2/r P.E = 2 (T.E) PE in the first excited state = -6.8 eV.

      Why the other options are wrong
      • A. This option suggests that the potential energy of the electron in the 1st excited state is positive. However, the potential energy of an electron in an atom is always negative. So, this option is incorrect.
      • B. This option also suggests a positive potential energy, which is incorrect, as discussed above.
      • D. This option suggests a positive potential energy, which is incorrect, as discussed above.

      Q59. A chemical reaction is catalyzed by a catalyst X. Hence, X:

      • A. Increases activation energy of the reaction
      • B. Does not affect equilibrium constant of the reaction
      • C. Decreases rate constant of the reaction
      • D. Reduces enthalpy of the reaction

      Explanation: A catalyst provides an alternative reaction pathway with lower activation energy, increasing the reaction rate. It does not change the energies of reactants or products, so the equilibrium position remains unchanged. Therefore, the correct answer is B .

      Why the other options are wrong
      • A. A catalyst lowers activation energy, not increases it, enabling faster reactions by providing alternative pathways energetically.
      • C. A catalyst increases the rate constant by lowering activation energy, speeding up both forward and reverse reactions equally.
      • D. A catalyst does not affect reaction enthalpy (ΔH), which is a state function independent of reaction pathway or catalyst.

      Q60. Study the following redox reaction and answer the following question:10Clˉ +16H+ + 2MnO4ˉ → 5Cl2 + 2Mn2+ + 8H2O

      • A. Manganese is oxidized from +7 to +2
      • B. Chlorine ions are reduced from -1 to zero
      • C. Chlorine is reduced from 0 to -1
      • D. Manganese is reduced from +7 to +2

      Explanation: The correct change in oxidation numbers

      Why the other options are wrong
      • A. Mn is reduced from +7 to +2, not oxidezed (a decrease in oxidation number is reduction)
      • B. Cl ions are oxidized from -1 to 0 and not reduced (an increase in oxidation number is oxidation)
      • C. Cl ions are oxidized from -1 to 0

      Q61. The rate of a gaseous reaction Is given by K [A] [B]. If the volume of the vessel containing these gases is reduced to 1/4th of the initial volume, the rate of reaction relative to the original rate would be:

      • A. 16/1
      • B. 1/16
      • C. 4/1
      • D. 1/8
      • E. 8/1

      Explanation: If the volume of the vessel is reduced by 1/4th that means according to formula C=n/V concentration of each gas in the flask increases by a factor of 4 times. Since concentrations of two gases are increased by this factor that increases the overall rate by 4x4=16.

      Why the other options are wrong
      • B. If the volume of the vessel is reduced by 1/4th that means according to formula C=n/V concentration of each gas in the flask increases by a factor of 4 times. Since concentrations of two gases are increased by this factor that increases the overall rate by 4x4=16.
      • C. If the volume of the vessel is reduced by 1/4th that means according to formula C=n/V concentration of each gas in the flask increases by a factor of 4 times. Since concentrations of two gases are increased by this factor that increases the overall rate by 4x4=16.
      • D. If the volume of the vessel is reduced by 1/4th that means according to formula C=n/V concentration of each gas in the flask increases by a factor of 4 times. Since concentrations of two gases are increased by this factor that increases the overall rate by 4x4=16.
      • E. If the volume of the vessel is reduced by 1/4th that means according to formula C=n/V concentration of each gas in the flask increases by a factor of 4 times. Since concentrations of two gases are increased by this factor that increases the overall rate by 4x4=16.

      Q62. On the hydrogen atom spectrum, a series of spectral lines that fall within the visible region is:

      • A. Lymen series
      • B. Balmer Series
      • C. Paschen series
      • D. Bracket series
      • E. Pfund series

      Explanation: Lyman series of hydrogen atom lies in ultraviolet region, Balmer series lies in visible region while Pfund and Paschen series lie in infrared region.

      Why the other options are wrong
      • A. Lymen series lies in the ultraviolet region of the spectrum of hydrogen atom.
      • C. Paschen series lies in infra-red region of spectrum of hydrogen atom.
      • D. Brackett series lies in the infra-red region,more precisely in the far infra-red region of hydrogen spectrum.
      • E. Pfund series lies in the infra-red region,more precisely in the far infra-red region of hydrogen spectrum.

      Q63. Why is it necessary to distill aldehyde formed from oxidation of primary alcohol through acidified potassium dichromate (VI) solution or acidified sodium dichromate (VI) solution?

      • A. Aldehyde formed may be oxidized further to carboxylic acid concerned
      • B. Aldehyde formed is unstable and decompose back to original precursor i.e. primary alcohol
      • C. Aldehyde may be oxidised further to a ketone
      • D. Aldehyde formed may react with primary alcohol, the original reactant.

      Explanation: Oxidation of alcohols to aldehydes is partial oxidation, if aldehydes are further oxidized they form carboxylic acids. Therefore, the conditions required for making aldehydes are heat and distillation.

      Q64. A rotating wheel of radius 0.5 m has an angular velocity of 5 rad/s at some instant and 10 rad / s after 5 s. Find the angular acceleration of a point on its rim.

      • A. 1 rad/s2
      • B. 3 rad/s2
      • C. 5 rad/s2
      • D. 7 rad/s2
      • E. 9 rad/s2

      Explanation: The angular acceleration of a rotating object can be found using the formula α = (ωf - ωi) / t, where ωf is the final angular velocity, ωi is the initial angular velocity, and t is the time interval. In this case, the initial angular velocity (ωi) is 5 rad/s, the final angular velocity (ωf) is 10 rad/s, and the time interval (t) is 5 seconds. Substituting these values into the formula gives: α = (10 rad/s - 5 rad/s) / 5 s = 1 rad/s2. Therefore, Option A is correct. All other options are incorrect as they do not result from applying this formula to the given values.

      Why the other options are wrong
      • B. It is incorrect as per the given formula.Option A is correct as ωf=ωi+αt.α= (ωf- ωi)/t= (10-5)/5=1rad/s2.Hence all other options are rendered as incorrect.
      • C. It is incorrect as per the given formula. Option A is correct as ωf=ωi+αt.α= (ωf- ωi)/t= (10-5)/5=1rad/s2.Hence all other options are rendered as incorrect.
      • D. It is incorrect as per the given formula. Option A is correct as ωf=ωi+αt.α= (ωf- ωi)/t= (10-5)/5=1rad/s2.Hence all other options are rendered as incorrect.
      • E. It is incorrect as per the given formula. Option A is correct as ωf=ωi+αt.α= (ωf- ωi)/t= (10-5)/5=1rad/s2.Hence all other options are rendered as incorrect.

      Q65. Doubly ionized atoms 𝑋 and 𝑌 of two different elements are accelerated through the same P.D. on entering a uniform magnetic field they describe circular paths of radii 𝑅1 and 𝑅2. The masses of 𝑋 and 𝑌 are in the ratio of:

      • A. R1: 𝑅2
      • B. 𝑅2: 𝑅1
      • C. R21 : 𝑅22
      • D. R22: 𝑅21

      Explanation: Refer to the following

      Q66. Magnetic flux is maximum when the angle, between the area vector and the magnetic field lines, is?

      • A.
      • B. 90°
      • C. 120°
      • D. All of these

      Explanation: Magnetic Flux refers to the number of magnetic field lines, passing through a particular area. The formula, to calculate magnetic flux, is; BA cos(theta), where 'B' is the magnetic flux density, 'A' is the area, and 'theta' is the angle between the two vectors. When theta is zero, which implies that the two quantities are parallel to each other, magnetic flux would be 'BA', which is the maximum amount.

      Why the other options are wrong
      • B. This is not correctMagnetic flux is maximum when the angle between the area vector and the magnetic field lines is 0 degrees, i.e., when the area vector is perfectly aligned (parallel) with the magnetic field lines.Magnetic flux (Φ) is a measure of the total magnetic field passing through a surface. It is given by the formula:Φ = B * A * cos(θ)where:Φ = Magnetic fluxB = Magnetic field strength (magnitude of the magnetic field)A = Area of the surfaceθ = Angle between the area vector and the magnetic field linesThe angle θ is the angle between the direction of the magnetic field lines and the direction perpendicular to the surface. When the area vector is parallel to the magnetic field lines (θ = 0 degrees), the cosine of 0 degrees is 1. In this case, the magnetic flux is at its maximum value because the entire magnetic field passes perpendicularly through the surface, resulting in the highest possible magnetic flux.On the other hand, when the area vector is perpendicular to the magnetic field lines (θ = 90 degrees), the cosine of 90 degrees is 0. In this case, the magnetic flux is zero because none of the magnetic field passes through the surface.So, magnetic flux is maximum when the angle between the area vector and the magnetic field lines is 0 degrees, and it decreases as the angle increases towards 90 degrees, where it becomes zero.
      • C. This is not correct Magnetic flux is maximum when the angle between the area vector and the magnetic field lines is 0 degrees, i.e., when the area vector is perfectly aligned (parallel) with the magnetic field lines.Magnetic flux (Φ) is a measure of the total magnetic field passing through a surface. It is given by the formula:Φ = B * A * cos(θ)where:Φ = Magnetic fluxB = Magnetic field strength (magnitude of the magnetic field)A = Area of the surfaceθ = Angle between the area vector and the magnetic field linesThe angle θ is the angle between the direction of the magnetic field lines and the direction perpendicular to the surface. When the area vector is parallel to the magnetic field lines (θ = 0 degrees), the cosine of 0 degrees is 1. In this case, the magnetic flux is at its maximum value because the entire magnetic field passes perpendicularly through the surface, resulting in the highest possible magnetic flux.On the other hand, when the area vector is perpendicular to the magnetic field lines (θ = 90 degrees), the cosine of 90 degrees is 0. In this case, the magnetic flux is zero because none of the magnetic field passes through the surface.So, magnetic flux is maximum when the angle between the area vector and the magnetic field lines is 0 degrees, and it decreases as the angle increases towards 90 degrees, where it becomes zero.
      • D. This is not correctMagnetic flux is maximum when the angle between the area vector and the magnetic field lines is 0 degrees, i.e., when the area vector is perfectly aligned (parallel) with the magnetic field lines.Magnetic flux (Φ) is a measure of the total magnetic field passing through a surface. It is given by the formula:Φ = B * A * cos(θ)where:Φ = Magnetic fluxB = Magnetic field strength (magnitude of the magnetic field)A = Area of the surfaceθ = Angle between the area vector and the magnetic field linesThe angle θ is the angle between the direction of the magnetic field lines and the direction perpendicular to the surface. When the area vector is parallel to the magnetic field lines (θ = 0 degrees), the cosine of 0 degrees is 1. In this case, the magnetic flux is at its maximum value because the entire magnetic field passes perpendicularly through the surface, resulting in the highest possible magnetic flux.On the other hand, when the area vector is perpendicular to the magnetic field lines (θ = 90 degrees), the cosine of 90 degrees is 0. In this case, the magnetic flux is zero because none of the magnetic field passes through the surface.So, magnetic flux is maximum when the angle between the area vector and the magnetic field lines is 0 degrees, and it decreases as the angle increases towards 90 degrees, where it becomes zero.

      Q67. Moment of inertia of a thin rod of mass m, length l about a line passing through its center is:

      • A. ml2
      • B. ½ ml2
      • C. ⅓ ml2
      • D. ⅖ ml2
      • E. 1/12 ml2

      Explanation: Moment of inertia of a thin rod of mass M and length L about an axis passing through its center is 1/12ML2.

      Q68. Equations of kinetics are valid only when the acceleration is:

      • A. Increasing
      • B. Decreasing
      • C. Constant
      • D. Vary with time

      Explanation: The equations of kinetics can be utilized for any motion that can be described as being either a constant velocity motion (an acceleration of 0 m/s/s) or a constant acceleration motion. They can never be used over any time period during which the acceleration is changing.○Equations of kinetics are only valid in uniform motion or non- accelerating motion or constant acceleration (a=0).

      Why the other options are wrong
      • A. Increasing : If acceleration is increasing then kinetic equations are not walid and for that we have to use the theory of relativity.
      • B. Decreasing : If acceleration is decreasing then the frame is accelerating fot which kinetic equations are not walid and for that we have to use the theory of relativity .
      • D. Vary with time :If acceration is varying with time than the acceration is changing which means that the frame accerating and for accelerating frame laws of kinetics are not valid.

      Q69. To determine the resistance of a voltmeter by discharging a capacitor through it, the instantaneous voltage is then given by the relation:

      • A. V(t) = V0e-t/RC
      • B. V(t) = V0(1 - e-t/RC)
      • C. V(t) = V0et/RC
      • D. V(t) = V0t/RC

      Explanation: Option A is the correct option since Voe-t/RC gives the correct instantaneous voltage.

      Why the other options are wrong
      • B. This option is incorrect as it represents the charging of a capacitor over time, not discharging.
      • C. This option is incorrect as the presence of a positive exponent suggests an increase in voltage, which does not occur during discharging.
      • D. This option is incorrect because it implies a linear relationship, which does not describe the exponential nature of capacitor discharge.

      Q70. The six strings of a guitar are the same length under nearly the same tension, but they have different thicknesses. On which string do waves travel the fastest?

      • A. The thickest string
      • B. The thinnest string
      • C. The wave speed is the same on all the strings
      • D. None of the above

      Explanation: The velocity of a transverse wave in a stretched string is given by: v = √(T/n). Where T is the Tension and n is the mass per unit lenthn = m/L = ρπr^2/L where r is the radius of the wirer = d/2 where d is the diameterSo, v = √ (4T/ρπd^2)v= 2/d √(T/ρπ)As it can be seen, v is inversely proportional to dThus, the velocity of wave is highest for thinnest string.

      Why the other options are wrong
      • A. The velocity of a transverse wave in a stretched string is given by: v = √(T/n). Where T is the Tension and n is the mass per unit lenthn = m/L = ρπr^2/L where r is the radius of the wirer = d/2 where d is the diameterSo, v = √ (4T/ρπd^2)v= 2/d √(T/ρπ)As it can be seen, v is inversely proportional to dThus, the velocity of wave is highest for thinnest string.
      • C. As per explanation, this is incorrect.The velocity of a transverse wave in a stretched string is given by: v = √(T/n). Where T is the Tension and n is the mass per unit lenthn = m/L = ρπr^2/L where r is the radius of the wirer = d/2 where d is the diameterSo, v = √ (4T/ρπd^2)v= 2/d √(T/ρπ)As it can be seen, v is inversely proportional to dThus, the velocity of wave is highest for thinnest string.
      • D. As per explanation, this is incorrect.The velocity of a transverse wave in a stretched string is given by: v = √(T/n). Where T is the Tension and n is the mass per unit lenthn = m/L = ρπr^2/L where r is the radius of the wirer = d/2 where d is the diameterSo, v = √ (4T/ρπd^2)v= 2/d √(T/ρπ)As it can be seen, v is inversely proportional to dThus, the velocity of wave is highest for thinnest string.

      Q71. A disc, a hoop, and a sphere of the same mass and radius are rolled down from a frictionless, inclined plane. Which has a greater speed on reaching the ground?

      • A. Disc
      • B. Loop
      • C. Sphere
      • D. All have the same speed

      Explanation: The sphere has most of its mass near the axis of rotation, so it will have the smallest moment of inertia and will reach the ground first.The disc has its mass uniformly distributed, so will have a greater moment of inertia and will arrive second.The hoop has all its mass concentrated away from the center, so will have the greatest moment of inertia. It will arrive last, but will then travel farther away on the horizontal plane than the other shapes, as it will have stored more of the original potential energy in the form of rotational energy.

      Why the other options are wrong
      • A. The sphere has the greatest speed on reaching the ground.
      • B. The sphere has the greatest speed on reaching the ground. The shape of loop is as follows;
      • D. The sphere has the greatest speed on reaching the ground.

      Q72. “The magnitude of electrostatic force between two point charges is directly proportional to the product of the magnitude of the charges and inversely proportional to the square of the distance between them.” This is known as:

      • A. Gauss’s Law
      • B. Ohm’s Law
      • C. Faraday's Law
      • D. Newton's Law
      • E. Coulomb's Law

      Explanation: The statement given is a direct description of Coulomb's Law. This law quantitatively defines the electrostatic force between two point charges as F = k(q1*q2)/r², where F is the force, q1 and q2 are the magnitudes of the charges, r is the distance between the charges, and k is Coulomb's constant. This law is fundamental in understanding electrostatic interactions.Other options explain different physical laws: Gauss's Law pertains to electric fields, Ohm's Law to electrical circuits, Faraday's Law to electromagnetic induction, and Newton's Laws to mechanics. None of these describe the electrostatic force between point charges.

      Why the other options are wrong
      • A. Gauss's Law relates the electric flux passing through a closed surface to the charge enclosed by that surface. It does not directly address the force between point charges.
      • B. Ohm's Law describes the relationship between voltage, current, and resistance in an electrical circuit, not the interaction between point charges.
      • C. Faraday's Law deals with electromagnetic induction, which is about inducing an electromotive force in a conductor due to a changing magnetic field, not electrostatic forces between charges.
      • D. Newton's Laws of motion pertain to the relationship between a body and the forces acting upon it, not the electrostatic force between charges.

      Q73. Two resistors R1 and R2 may be connected either in series or in parallel across a battery of zero internal resistance. It is required that the joule heating for parallel combination be five times that for series combination. If R1 = 100Ω, find possible values of R2.

      • A. 38.2 Ω
      • B. 35.3 Ω
      • C. 48.2 Ω
      • D. None of the above

      Explanation: Correct option is 'A'.

      Why the other options are wrong
      • B. This option is incorrect as per the formula and calculations
      • C. This option is incorrect as per the formula and calculations
      • D. This option is incorrect as per the formula and calculations

      Q74. Who stated the right-hand thumb rule?

      • A. Oersted
      • B. Maxwell
      • C. Einstein
      • D. Fleming

      Explanation: The right-hand thumb rule was invented by British physicist John Ambrose Fleming in the late 19th century for use in electromagnetism.

      Why the other options are wrong
      • A. The right-hand thumb rule was not invented by Oersted.So , this is not a correct option.
      • B. The right-hand thumb rule was not invented by Maxwell.So , this is not a correct option.
      • C. The right-hand thumb rule was not invented by Einstein .So , this is not a correct option.

      Q75. A cathode ray oscilloscope is displaying an AC signal. If one wave is completed in 2 cm along X- axis and time-base setting is 10 ms/cm, then frequency of AC signal will be:

      • A. 100 Hz
      • B. 50 Hz
      • C. 20 Hz
      • D. 10 Hz
      • E. 200 Hz

      Explanation: The distance traveled by the wave along the X-axis in one complete cycle is the wavelength, which is given as 2 cm in the problem. The time-base setting is given as 10 ms/cm, which means that one centimeter along the X-axis represents a time of 10 ms. Therefore, the time taken for one complete cycle is:Time = (2 cm) x (10 ms/cm) = 20 msThe frequency, f, is given by the formula:f = 1/TWhere T is the time taken for one complete cycle. Substituting the value of T, we get:f = 1/20 ms = 50 HzTherefore, the frequency of the AC signal is 50 Hz. The correct answer is B.

      Why the other options are wrong
      • A. This option implies that the frequency of the AC signal is 100 Hz. However, based on the given information, the time per wave is 20 ms, which corresponds to a frequency of 50 Hz. Therefore, option A is not the correct answer.
      • C. This option suggests that the frequency of the AC signal is 20 Hz. However, as calculated earlier, the frequency is actually 50 Hz. Therefore, option C is not the correct answer.
      • D. This option indicates that the frequency of the AC signal is 10 Hz. However, the correct frequency calculated earlier is 50 Hz. Therefore, option D is not the correct answer.
      • E. This option suggests that the frequency of the AC signal is 200 Hz. However, the correct frequency calculated earlier is 50 Hz. Therefore, option E is not the correct answer.

      Q76. The angular velocity of a rotating disk increases from 2 rad/s to 5 rad/s in 0.5s. What is the disk’s average angular acceleration?

      • A. 67 rad/s2
      • B. 46 rad/s2
      • C. 36 rad/s2
      • D. 16 rad/s2
      • E. 6 rad/s2

      Explanation: Average angular acceleration = Rate of change of angular velocity = (Final angular velocity - Initial angular velocity) / Time = (5 rad/s - 2 rad/s) / 0.5 s = 6 rad/s²

      Q77. After a certain lapse of time, the fraction of radioactive polonium is found to be 12.5% of the initial quantity. If the half-life of polonium is 138 days, then the duration of time-lapse is _days.

      • A. 34.5
      • B. 276
      • C. 414
      • D. 125

      Explanation: The problem states that the fraction of radioactive polonium remaining is 12.5% of the original amount. Since 12.5% is equivalent to 1/8, we can determine the number of half-lives needed to reach this fraction. Starting from N, after each half-life, the quantity is halved:1. After one half-life (138 days): N/22. After two half-lives (276 days): N/43. After three half-lives (414 days): N/8Thus, three half-lives are required for the quantity to reduce to 12.5% of its original amount, making the duration 414 days.Other options do not correctly match the number of half-lives or the resulting fraction of the remaining quantity.

      Why the other options are wrong
      • A. This option suggests that less than one half-life has passed. If only 34.5 days had passed, the remaining quantity would be much more than 12.5%.
      • B. After two half-lives (276 days), the quantity would be reduced to N/4, or 25% of the initial quantity. This is not the correct remaining fraction.
      • D. This option does not correspond to a whole number of half-lives, and the calculation does not result in 12.5% remaining.

      Q78. Two capacitors C1 (6µF) and C2 (12µF) are in series across a 180 volts D.C supply. Calculate the charges on C1 and C2 respectively.

      • A. 120x106 C, -420x106 C
      • B. 320x10-6 C, 420x10-6 C
      • C. 420x10-6 C, 320x10-6 C
      • D. 720x10-6 C, 720x10-6 C
      • E. 620x10-6 C, 420x10-6 C

      Explanation: Charge remains same in series and charges of both capacitors are only same in Option D and so it is the right answer.You can even calculate the charge using this;net capacitance in series:1/C= 1/C1 + 1/C21/C = 1/12 + 1/6 C= 4x10-6 FC=Q/V4x10-6 = Q/180Q= 720 x 10-6 C

      Why the other options are wrong
      • A. A. 120x10^6 C, -420x10^6 C: Incorrect. The charges are not equal and do not match the calculated value. Also, the negative sign is unusual in this context.
      • B. B. 320x10^-6 C, 420x10^-6 C: Incorrect. The charges are not equal and do not match the calculated value.
      • C. C. 420x10^-6 C, 320x10^-6 C: Incorrect. The charges are not equal and do not match the calculated value.
      • E. E. 620x10^-6 C, 420x10^-6 C: Incorrect. The charges are not equal and do not match the calculated value.

      Q79. Which of the following is the angle of projection of a projectile if its range is equal to its height?

      • A. 48
      • B. 60
      • C. 90
      • D. 76

      Explanation: This value should be learned for the exam because of the unavailability of calculators during the exam.There is a neat formula for the ratio of height to range:h/r=tanθ/4So whatever angle has a tangent of 4, that’s the angle that sets the ratio of height to range equal to exactly 1.tan−1(4)=75.96°

      Why the other options are wrong
      • A. Incorrect based on calculations.
      • B. Incorrect based on calculations.
      • C. Incorrect based on calculations.

      Q80. A shell of mass m moving with velocity v suddenly breaks into two pieces. The part having mass m/4 remains stationary. The velocity of the other shell will be:

      • A. v
      • B. 2v
      • C. 3v/4
      • D. 4v/3

      Explanation: Using the law conservation of mass, Total momentum Before = Total momentum After Let x be the new speed of remaining mass (3m/4) mv = m1v1 + m2v2 mv = (m/4) (0) + (3m/4) (x) mv = (3m/4) x 4v/3 = x Options A, B and C cannot be derived from the given situation as they donot follow law of conservation of momentum.

      Q81. Work done by friction force is always:

      • A. Negative
      • B. Positive
      • C. Zero
      • D. Maybe positive, maybe negative, or maybe zero

      Explanation: The work done by frictional force will be positive when the displacement of the body is in the direction of the force. This can be understood by an example. Consider there are two blocks stacked one over the other. If the lower block starts to move slowly in one direction, then there is a frictional force between the two blocks that prevents the sliding of the two blocks. This force acts on the upper block in the direction of motion of the lower block. The upper block also moves along with the lower block, that is, in the direction of the frictional force. Hence, the work done by friction is positive in this case.The work done by friction can be negative. For example, when a block is sliding over a rough ground, the frictional force acts in a direction opposite to the direction of motion of the block and tries to bring it to a stop. Since, the direction of motion of the block and the direction of frictional force is opposite to each other, the work done by friction is negative.The work done by friction can also be zero. For example, if we try to push a very heavy block on a rough floor, the block does not move. This is because the force of static friction opposes our force. However, since the block does not move, the displacement is zero. Therefore, zero work is done by friction.

      Q82. The K.E. of a body of mass 2kg and momentum of 2Ns is:

      • A. 1 J
      • B. 2 J
      • C. 3 J
      • D. 4 J

      Explanation: Given:mass(m)=2kg, momentum(p)=2Nswe know; p=mvv=p/m​v=1ms-1Kinetic energy (K.E)= 1/2(mv2)K.E=1/2(pv) K.E=1/2x(2x1)K.E=1J

      Why the other options are wrong
      • B. Incorrect as per formula
      • C. Incorrect as per formula
      • D. Incorrect as per formula

      Q83. One wheel has a diameter of 30 inches and a second wheel has a diameter of 20 inches. The first wheel travels certain distance revolution in 240 revolutions. In how many revolutions did the second wheel travel the same distance?

      • A. 170
      • B. 160
      • C. 360
      • D. 420

      Explanation: To solve this problem, we need to calculate the circumference of each wheel. The first wheel has a circumference of π × 30 = 30π inches, and the second wheel has a circumference of π × 20 = 20π inches. The ratio of the circumferences is 30π : 20π = 3 : 2. Since the first wheel travels the distance in 240 revolutions, the second wheel, with a circumference ratio of 3 : 2, would travel the same distance in 240 × 3/2 = 360 revolutions. Therefore, option C, 360 revolutions, is the correct answer. The other options provide incorrect calculations based on the same ratio and information given in the question.

      Why the other options are wrong
      • A. The ratio of diameters is 30:20=3:2. The first wheel travels the distance in 240 revolutions. So, the second wheel travels the same distance in 240 × 3/2 = 360 Revolutions.
      • B. The ratio of diameters is 30:20=3:2. The first wheel travels the distance in 240 revolutions. So, the second wheel travels the same distance in 240 × 3/2 = 360 Revolutions.
      • D. The ratio of diameters is 30:20=3:2. The first wheel travels the distance in 240 revolutions. So, the second wheel travels the same distance in 240 × 3/2 = 360 Revolutions.

      Q84. One kilowatt - hour is equivalent to a factor _ in Joules.

      • A. 1.2 x 105
      • B. 1.2 x 106
      • C. 3.6 x 105
      • D. 3.6 x 106

      Explanation: 1 kW =1000J/s 1 h =3600 s ∴ 1 kWh =1000 J/s×3600 s=36×10^5J = 3.6 X 106

      Why the other options are wrong
      • A. 3.6 x 106 is the only right option upon calculation. The rest are wrong.
      • B. 3.6 x 106 is the only right option upon calculation. The rest are wrong.
      • C. 3.6 x 106 is the only right option upon calculation. The rest are wrong.

      Q85. The potential energy of a particle having a mass of 0.5 kg, moving along the x axis, is given by U= 2*x(x-3), where x = the distance moved by the particle. The speed of the particle will be maximum when it has moved a distance of:

      • A. 1 m
      • B. 1.5 m
      • C. 2 m
      • D. 3 m

      Explanation: U = 2*3(3-3) = 0When potential energy is = 0, at that point all the potential energy would have been converted into kinetic energy. Thus when U = 0, K.E = max, and hence speed will be max.

      Q86. Mark out the correct option.

      • A. The energy of any small part of a string remains constant in a travelling wave
      • B. The energy of any small part of a string remains constant in standing wave
      • C. The energies of all small parts of equal length are equal in a travelling wave
      • D. The energies of all small parts of equal length are equal in a travelling wave

      Explanation: Option A, C and D are wrong as in a travelling wave energy does not remain constant and is transferred from one point to another.However, in a standing wave as mentioned in option B, Energy of small part remains constant or STANDING in that part.

      Why the other options are wrong
      • A. The energy of any small part of a string remains constant in a travelling wave: This statement is generally incorrect. In a travelling wave, the energy of a small part of a string varies with time. As the wave propagates along the string, the kinetic and potential energies of the particles comprising the string oscillate, leading to changes in the total energy of each small part. At certain points in the wave cycle, the energy is maximum (e.g., when the displacement is maximum), and at other points, it may be minimum or zero (e.g., when the displacement is zero). Therefore, the energy of a small part of a string in a travelling wave is not constant.
      • C. The energies of all small parts of equal length are equal in a travelling wave: This statement is generally incorrect. In a travelling wave, the energy of each small part varies depending on its position within the wave. Parts of the wave that experience maximum displacement (e.g., crest or trough) have higher energy compared to parts experiencing minimum displacement (e.g., points halfway between crest and trough). Therefore, the energies of all small parts of equal length are not equal in a travelling wave.
      • D. The energies of all small parts of equal length are equal in a standing wave: This statement is generally correct. In a standing wave, the energies of all small parts of equal length are approximately equal. This is because the oscillations occur at fixed positions (nodes and antinodes), and the energy distribution along the string is relatively uniform. While there may be slight variations in energy due to damping or other factors, in an idealized standing wave, the energies of equal-length segments are nearly identical.

      Q87. Which combination of up (u) and down (d) quarks forms a neutron?

      • A. u u u
      • B. u u d
      • C. u d d
      • D. d d

      Explanation: Quarks are fundamental and elementary particles, there are six flavors of quarks =up, down, top, bottom, charm, and strange.Down, bottom, and strange are the antiparticles of up, top, and charm respectively.Three of these are combined to make any particle such as the proton, neutron, etc.A neutron consists of two down quarks and one up quark.A proton consists of two up quarks and one down quark.Both protons and neutrons are baryons. Baryons are heavy subatomic particles made up of three quarks.

      Why the other options are wrong
      • A. All up quarks would not allow for a neutral charge, which is required for a neutron. Instead, this combination doesn't form a neutron.
      • B. This combination forms a proton, not a neutron. A proton is composed of two up quarks and one down quark.
      • D. This combination is incomplete and cannot form a neutron, as a neutron requires three quarks in total.

      Q88. SI unit of equivalent dose is:

      • A. Gray
      • B. Radiation
      • C. Sievert
      • D. Rem

      Explanation: The SI unit of measure for equivalent dose is the "sievert", defined as one Joule per kg.

      Why the other options are wrong
      • A. The gray (symbol: Gy) is the unit of ionizing radiation dose in the International System of Units (SI).
      • B. Radiation activity is measured in an international (SI) unit called a becquerel (Bq).
      • D. The roentgen equivalent man (rem) is a CGS unit of equivalent dose, effective dose, and committed dose.

      Q89. An object whose mass is 100 g starts from rest and moves with constant acceleration of 20 cm/s2. At the end of 8s its momentum in g cm / s is:

      • A. 500
      • B. 8000
      • C. 16,000
      • D. 33,000
      • E. 64,000

      Explanation: Step 1:force = mass * accelerationforce = 100 * 20force = 2000 g cm / s2Step 2:change in momentum = force * timechange in momentum = 2000 * 8change in momentum = 16000 g cm/s

      Why the other options are wrong
      • A. This option is incorrect. It does not match the calculated change in momentum based on the given data.
      • B. This option is incorrect. It is half of the correct value and does not account for the full time duration.
      • D. This option is incorrect. It is much higher than the correct calculated value.
      • E. This option is incorrect. It is four times the correct answer, indicating a miscalculation in the process.

      Q90. A proton 'up' quark has a charge of:

      • A. +2/3
      • B. -1/3
      • C. -2/3
      • D. +1/3

      Explanation: The two types of sub-atomic particles that you need to know are hadrons and leptons. Particles that are affected by the strong nuclear force are called hadrons, like protons and neutrons. Leptons are particles that are affected by the weak nuclear force, like electrons. Hadrons are made of quarks that can have one of 6 flavors. Two flavors found in a proton are up and down. The quark composition is such that the overall charge of the particle is maintained. In the case of a proton, that charge is +1. Proton: u u d The charge of 'u' is +2 / 3.

      Q91. Motional e.m.f induced in a coil is dependent on?

      • A. Magnetic field
      • B. Orientation
      • C. Length
      • D. All of these

      Explanation: The factors on which 'Motional emf' depends are nothing but, the 'magnetic field, velocity, and length of the rod'.

      Why the other options are wrong
      • A. Motional EMF depends on magnetic field strength (B), length of conductor (l), velocity (v), and the sine of the angle between velocity and magnetic field (θ).
      • B. Motional EMF depends on magnetic field strength (B), length of conductor (l), velocity (v), and the sine of the angle between velocity and magnetic field (θ).
      • C. Motional EMF depends on magnetic field strength (B), length of conductor (l), velocity (v), and the sine of the angle between velocity and magnetic field (θ).

      Q92. To generate force of repulsion both the charges must be

      • A. Negative
      • B. Positive
      • C. May be positive or negative
      • D. Cannot be determined

      Explanation: For repulsion both the charges must be same, they can both be either positive or negative.

      Q93. Identify the schematic representation of Fission Process from the following options?

      • A. Option A
      • B. Option B
      • C. Option C
      • D. Option D

      Explanation: The correct answer is Option A because it correctly depicts the fission process, where a large atomic nucleus splits into two or more smaller nuclei, releasing energy and neutrons. This process does not necessarily result in identical fragments, allowing for variation in the sizes of the resulting nuclei. Options B and C are incorrect because they imply that the fission fragments must be identical, which is not a requirement. Option D is incorrect because it inaccurately states that energy is absorbed in the fission process, whereas energy is, in fact, released.

      Why the other options are wrong
      • B. Option OPTION B and C are incorrect since they state that both the fission fragments should be identical which is not true. The fragments may be identical or they may be different.
      • C. Option OPTION B and C are incorrect since they state that both the fission fragments should be identical which is not true. The fragments may be identical or they may be different.
      • D. Option D is incorrect because it states that energy is absorbed, whereas in fission reactions energy is released.

      Q94. The nuclear force is :

      • A. Spin independent
      • B. Both charge and spin independent
      • C. Spin dependent but charge independent
      • D. Charge dependent

      Explanation: The nuclear force is nearly independent of whether the nucleons are neutrons or protons. This property is called charge independence.It depends on whether the spins of the nucleons are parallel or antiparallel and has a noncentral or tensor component.

      Why the other options are wrong
      • A. a) Spin independent: This option is incorrect. The nuclear force is not spin independent. It depends on the spins of the interacting nucleons (protons and neutrons).
      • B. b) Both charge and spin independent: This option is incorrect. The nuclear force is not charge independent. It depends on the charge of the interacting nucleons, i.e., protons and neutrons have different charges, and the nuclear force between them is influenced by this charge difference.
      • D. d) Charge dependent: This option is incorrect. The nuclear force is charge independent. It depends on the charge of the interacting nucleons, as well as their spins. The nuclear force is a short-range force that acts between nucleons within the atomic nucleus.

      Q95. Radiation can cause:

      • A. leukemia
      • B. radiation sickness
      • C. skin cancer
      • D. gene mutations
      • E. all of the above

      Explanation: Radiation can lead to multiple adverse health effects, including leukemia, radiation sickness, skin cancer, and gene mutations. Each of these outcomes stems from the ability of radiation to damage biological tissues and DNA. Leukemia is linked to radiation's impact on bone marrow, radiation sickness results from acute high-level exposure, skin cancer is associated with UV radiation, and gene mutations can occur due to ionizing radiation disrupting DNA. Therefore, the most comprehensive answer is all of the above, as radiation can indeed cause all these effects.

      Why the other options are wrong
      • A. Radiation exposure is a known risk factor for the development of leukemia. The bone marrow is highly sensitive to radiation, which can disrupt the normal production of blood cells and lead to this type of cancer.
      • B. Radiation sickness or acute radiation syndrome results from a high dose of radiation over a short period, leading to symptoms such as nausea, vomiting, and potential organ damage.
      • C. Long-term exposure to ionizing radiation, especially UV radiation, can damage skin cell DNA, increasing the risk of skin cancer.
      • D. Ionizing radiation can directly damage DNA, causing mutations that may lead to various health issues, including cancer. These mutations can also be inherited if they occur in germ cells.

      Q96. Value of current in a short circuit is_

      • A. Infinite
      • B. zero
      • C. minimum
      • D. maximum

      Explanation: Option A is correct since, in a short circuit, there is no resistance to the flow of charges so a large number of charges flow in a very short time. Thus, the current becomes infinite. Option B is incorrect since there is a flow of charges in a short circuit so the current is not zero Option C is incorrect since it states that current will be very less which is not true as current will be large Option D is incorrect as the maximum current can even occur with very low resistance. But when almost zero resistance is provided the current flow becomes infinite.

      Q97. In amplitude modulation, what remains the same:

      • A. Frequency of the wave
      • B. Amplitude of the wave
      • C. Wavelength of the wave
      • D. Intensity of waves

      Explanation: In amplitude modulation, the amplitude of the carrier wave is altered in accordance with the amplitude of the modulating signal. The frequency of the carrier wave is not altered in amplitude modulation. It is the inverse of frequency modulation.

      Why the other options are wrong
      • B. Option B is incorrect because Amplitude varies with the modulating signal.
      • C. Option C is incorrect because Wavelength changes with the medium, not modulation.
      • D. Option D is incorrect because Intensity fluctuates with varying amplitude, affecting power.

      Q98. Three resistors each having value 'R' are connected as shown in figure. What is the equivalent resistance between 'X' and 'Y'?

      • A. 3R
      • B. R
      • C. R/3
      • D. R3

      Explanation: The resistors are connected in a series so the final resistance between x and y would be the sum of all resistances, R+R+R=3R

      Why the other options are wrong
      • B. According to given explanation, this is an incorrect option.
      • C. According to given explanation, this is an incorrect option.
      • D. According to given explanation, this is an incorrect option.

      Q99. How many types of modulations are possible with sinusoidal carrier?

      • A. Only one
      • B. Two
      • C. Three
      • D. Four

      Explanation: The carrier signal is a sine wave at the carrier frequency. The sine wave has three characteristics that can be altered. The term that may be varied is the carrier voltage Ec, the carrier frequency FC, and the carrier phase angle θ. So three forms of modulations are possible.

      Why the other options are wrong
      • A. This is incorrect. Modulation can involve altering amplitude, frequency, or phase, not just one aspect.
      • B. This is incorrect. While it's possible to use just two types of modulation, the standard practice involves three types: amplitude, frequency, and phase modulation.
      • D. This is incorrect. There are three main types of analog modulation: amplitude, frequency, and phase. A fourth type is not standard for sinusoidal carriers.

      Q100. A neutron having mass equal to a proton (mp = 1.6 x 10-27 kg) is moving in a magnetic field of intensity 1.20 x 10-3 T with a speed of 2.0 x 107 ms-1 . What is the maximum force experienced by the neutron?

      • A. 3.84 x 10-15 N
      • B. 0
      • C. 3.84 x 10-12 N
      • D. 38.4 x 10-15 N

      Explanation: Neutrons do not experience magnetic fields because it's a neutral particle, moving charged particles only experience the magnetic force

      Why the other options are wrong
      • A. Neutrons do not experience magnetic fields because it's a neutral particle, moving charged particles only experience the magnetic force.
      • C. Neutrons do not experience magnetic fields because it's a neutral particle, moving charged particles only experience the magnetic force.
      • D. Neutrons do not experience magnetic fields because it's a neutral particle, moving charged particles only experience the magnetic force.

      Q101. Newton's third law can be derived from:

      • A. Newton's first law
      • B. Newton's second law
      • C. Both Options A and B are correct
      • D. They are unrelated

      Explanation: Newton's second law provides a mathematical description of force as it relates to mass and acceleration, forming the basis for understanding interactions between objects. From these interactions, Newton's third law can be derived, stating that for every action, there is an equal and opposite reaction. Newton's first law does not offer this mathematical basis, as it focuses solely on the state of motion without external forces. The option suggesting they are unrelated is incorrect, as Newton's laws collectively describe motion and force interactions. Thus, the correct answer is option B.

      Why the other options are wrong
      • A. Newton's first law, or the law of inertia, describes how an object remains at rest or in uniform motion unless acted upon by an external force. It does not provide the mathematical basis needed to derive the concept of action and reaction forces.
      • C. While both laws are crucial to the study of motion, only Newton's second law supplies the mathematical framework necessary to derive the third law. Therefore, this option is incorrect.
      • D. Newton's laws are indeed related, with each law describing different aspects of motion and force. Newton's second law is essential for deriving the third law, making this option incorrect.

      Q102. Which of the following statements is incorrect?

      • A. ∆Hn can be determined by a glass calorimeter
      • B. ∆Hc can be determined by a bomb calorimeter
      • C. ∆Hlatt of NaCl is 787 kJ mol-1
      • D. Na(s) → Na(g) + ∆H = -108 kJ mol-1

      Explanation: The correct answer is Option C. The lattice enthalpy of NaCl should be a positive value, indicating the energy required to break the ionic bonds, not a negative value as suggested. Option A is correct as it describes the use of a glass calorimeter in measuring enthalpy changes, typically for reactions at constant pressure. Option B accurately describes the function of a bomb calorimeter in determining the heat of combustion. Option D incorrectly states the ∆H value for the atomization of sodium, which should be positive, reflecting the endothermic nature of the process.

      Why the other options are wrong
      • A. This statement is generally true. A glass calorimeter can be used to measure changes in enthalpy, particularly for reactions carried out at constant pressure.
      • B. This statement is true. A bomb calorimeter is specifically designed to measure the heat of combustion (∆Hc) of substances by burning the sample in a controlled, oxygen-rich environment.
      • C. This statement is correct. The lattice enthalpy of NaCl is typically a positive value, indicating the energy required to dissociate the ionic lattice into gaseous ions.

      Q103. Tropical plants such as sugarcane show high efficiency of CO2 fixation because of:

      • A. Calvin cycle
      • B. Hatch-slack
      • C. TCA-cycle
      • D. All of these

      Explanation: The high efficiency of carbon dioxide (CO2) fixation in C4 plants, including tropical plants like sugarcane, is indeed associated with the Hatch-Slack pathway. The Hatch-Slack pathway, also known as C4 photosynthesis, is a mechanism that allows these plants to efficiently fix carbon dioxide even under high temperatures and intense sunlight.

      Why the other options are wrong
      • A. This is incorrect because the Calvin cycle is the primary pathway for carbon fixation in photosynthetic organisms, including sugarcane. It contributes to their CO2 fixation efficiency, so option A is incorrect.
      • C. TCA-cycle (also known as the Krebs cycle): This is incorrect because the TCA cycle is involved in cellular respiration, not CO2 fixation. It plays a role in generating energy, not fixing carbon.
      • D. This option is incorrect .The correct option is B.

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