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Kpk Physics 2013 — Solved Past Paper with Answers

All 18 MCQs from Kpk Physics 2013, solved with the correct answer highlighted and a full explanation for every question. This is a free MDCAT KPK / ETEA past paper — no signup, no ads. Practise it interactively in timed mode, drill more with free MDCAT MCQs, or browse all KPK / ETEA papers.

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Q1. The energy stored in a charged capacitor is given by

  • A. 1/2 QV
  • B. U=1/2​CV2
  • C. 1/2 C2V2
  • D. 1/2 QV2

Explanation: The energy (U) stored in a charged capacitor is given by the formula: U=1/2​CV2Where:C is the capacitance of the capacitor.V is the voltage across the capacitor.So, the correct option will be 1/2 CV². This formula tells us that the energy stored in a capacitor is directly proportional to the square of the voltage across it and the capacitance of the capacitor itself.

Why the other options are wrong
  • A. Incorrect as per fact.
  • C. Incorrect as per fact.
  • D. Incorrect as per fact.

Q2. The negative of the potential gradient is

  • A. Potential energy
  • B. Electric field intensity
  • C. Voltage
  • D. None of these

Explanation: The negative of the potential gradient is the Electric Field Intensity.In physics, the electric field is a vector field that shows the direction that a positively charged particle will move when placed in the field. The electric field is defined mathematically as the electric force per unit charge. The potential gradient is a measure of how the electric potential changes with respect to the spatial coordinates. When you take the negative of this, you get the direction of the electric field. This is because the electric field always points from regions of high potential to regions of low potential.

Why the other options are wrong
  • A. Incorrect as per fact and given condition.
  • C. Incorrect as per fact and given condition.
  • D. Incorrect as option (b) is correct.

Q3. A wire of uniform cross section "A", Length "L" and resistance "R" is cut in two equal parts. The resistivity of each part is:

  • A. Doubled
  • B. Halved
  • C. Remains the same
  • D. One fourth

Explanation: The resistivity of a material is a property that is independent of its shape or size. It’s a characteristic of the material itself. So, when you cut a wire into two equal parts, the resistivity of each part remains the same as the original wire.The formula for resistance is given by: R = ρ L/Awhere:R is the resistance,ρ (rho) is the resistivity,L is the length of the wire, andA is the cross-sectional area of the wire.When the wire is cut into two equal parts, the length of each part becomes L/2, but the resistivity (ρ) and the cross-sectional area (A) remain the same. Therefore, the resistivity of each part is still ρ.

Why the other options are wrong
  • A. Incorrect as per calculation and formula: R = ρ L/A
  • B. Incorrect as per calculation and formula: R = ρ L/A
  • D. Incorrect as per calculation and formula: R = ρ L/A

Q4. Joule's law for heat dissipation in Resistance "R" carrying Current "I" is given by:

  • A. W = I2Rt
  • B. W = IRt
  • C. W = IR2t
  • D. W = I2R2t

Explanation: Joule’s law of electric heating states that the heat dissipated in a resistor is directly proportional to the square of the current passing through it, the resistance it offers to the current, and the time for which the current is passed. It can be mathematically expressed as: W = I2RtWhere:I is the current through the resistor (in amperes),R is the resistance (in ohms), andt is the time for which the current is passed (in seconds).

Why the other options are wrong
  • B. Incorrect as the correct formula is: W = I2Rt
  • C. Incorrect as the correct formula is: W = I2Rt
  • D. Incorrect as the correct formula is: W = I2Rt

Q5. The resonance frequency of LCR series circuit is:

  • A. 1/2πLC
  • B. 1/π√LC
  • C. 1/ 2π√LC
  • D. 1/π√CR

Explanation: The resonance frequency (f) of an LCR series circuit is given by the formula: f = 1/ 2π√LCWhere:L is the inductance of the inductor measured in henries (H),C is the capacitance of the capacitor measured in farads (F),f is the resonance frequency measured in hertz (Hz).This formula gives the frequency at which the circuit will resonate, i.e., the frequency at which the inductive and capacitive reactances are equal, thereby causing the impedance of the circuit to be minimum. At this frequency, the circuit allows maximum current for a given applied voltage. It’s a fundamental concept in the study of AC circuits.

Why the other options are wrong
  • A. Incorrect as correct formula is: 1/ 2π√LC
  • B. Incorrect as correct formula is: 1/ 2π√LC
  • D. Incorrect as correct formula is: 1/ 2π√LC

Q6. The unit of magnetic flux density is:

  • A. Wb.m-2
  • B. Wb.m2
  • C. NAm-1
  • D. NmA-1

Explanation: The unit of magnetic flux density is indeed expressed as Weber per square meter (Wb.m-2).

Why the other options are wrong
  • B. It is not the unit of magnetic flux density.
  • C. It is not the unit of magnetic flux density.
  • D. It is not the unit of magnetic flux density.

Q7. One Pascal = Pa =

  • A. Nm-2
  • B. Nm-3
  • C. Nm
  • D. N-1m-2

Explanation: The Pascal ( Pa) is the unit of pressure in the International System of Units (SI). It is defined as one newton per square metre (N/m²). 1 Pascal (Pa) = 1 Newton per square meter (N/m²)

Why the other options are wrong
  • B. Incorrect as correct conversion of Pa is: 1 Pascal (Pa) = 1 Newton per square meter (N/m²)
  • C. Incorrect as correct conversion of Pa is: 1 Pascal (Pa) = 1 Newton per square meter (N/m²)
  • D. Incorrect as correct conversion of Pa is: 1 Pascal (Pa) = 1 Newton per square meter (N/m²)

Q8. The rest mass of photon is:

  • A. Infinite
  • B. Zero
  • C. 1.6 x 10-27 kg
  • D. 3 x 108 kg

Explanation: The rest mass of a photon is 0. This is because photons are particles of light and they always move at the speed of light in a vacuum. According to the theory of relativity, any particle that moves at the speed of light must have zero rest mass. Therefore, the rest mass of a photon is 0.m0​=0where (m0) is the rest mass of the photon.

Why the other options are wrong
  • A. Incorrect according to the theory of relativity.
  • C. Incorrect according to the theory of relativity.
  • D. Incorrect according to the theory of relativity.

Q9. Irms is equal to:

  • A. 0.707 I0
  • B. 0.707 I
  • C. 0.707 V
  • D. 0.707 I02

Explanation: For a sinusoidal wave, the RMS value is approximately 0.707 times the peak value (Imax). As: Irms = 0.707IoThis factor, 0.707, is the square root of 1/2, and it comes from the mathematical process used to calculate the RMS value.

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

Q10. The device that stores electrical energy into magnetic field is called _.

  • A. Capacitor
  • B. Inductor
  • C. Transformer
  • D. All of these

Explanation: The device that stores electrical energy into a magnetic field is called an inductor. An inductor has the capability to store energy in its magnetic field.

Why the other options are wrong
  • A. Incorrect as it is a device that stores electrical energy by accumulating electric charges on two closely spaced surfaces that are insulated from each other.
  • C. Incorrect as transformer is a passive component that transfers electrical energy from one electrical circuit to another, or multiple circuits.
  • D. Incorrect because transformer and capacitor do not store electrical energy into magnetic field.

Q11. Shunted Galvanometer is called

  • A. Multimeter
  • B. Ammeter
  • C. AVO meter
  • D. Volt meter

Explanation: A shunted galvanometer can be referred to as an Ammeter. This is because a shunt, which is a low resistance path, is connected in parallel to the galvanometer to allow it to measure current without being damaged by high currents. The shunt effectively diverts the majority of the current away from the galvanometer’s sensitive coils, allowing it to function as an ammeter.

Why the other options are wrong
  • A. A device that measures multiple electrical properties such as voltage, resistance, and current.
  • C. It measures direct voltage, direct current, and resistance.
  • D. An instrument used for measuring electric potential difference between two points in an electric circuit.

Q12. A diode consists of _.

  • A. One junction
  • B. Two junction
  • C. Three junction
  • D. None of these

Explanation: A diode typically consists of one junction. It’s a two-terminal electronic component that conducts current primarily in one direction. The device is made up of a piece of semiconductor material with a P-N junction attached to two electrical terminals. The P-N junction refers to the boundary between the two types of semiconductors, “P” (positive) and “N” (negative). The junction allows current to flow more easily in one direction than the other, which is a fundamental property of a diode.

Why the other options are wrong
  • B. Incorrect as per fact because diode have only one junction. Two junctions are mostly seen in transistor.
  • C. Incorrect as per fact because diode have only one junction. Three junctions are not that much common.
  • D. Incorrect as option (a) is correct.

Q13. When a charged particle is projected perpendicular to a uniform snape magnetic field, it's trajectory is

  • A. A circle
  • B. An ellipse
  • C. A straight line
  • D. Of any shape

Explanation: When a charged particle is projected perpendicular to a uniform magnetic field, its trajectory is a circle. This is due to the Lorentz force which acts as a centripetal force, causing the particle to move in a circular path. The radius of the circle can be determined by the equation: r = mv / qBwhere:m is the mass of the particle,v is the velocity of the particle,q is the charge of the particle, andB is the magnetic field strength.The direction of motion is given by the right-hand rule. If the thumb of the right hand points in the direction of the velocity of the positive charge and the fingers in the direction of the magnetic field, then the force (and hence the acceleration) is in the direction of the palm. For a negative charge, the force is in the opposite direction. This is why the charged particle moves in a circular path.

Why the other options are wrong
  • B. Incorrect as the trajectory is in circular shape.
  • C. Incorrect as the trajectory is in circular shape.
  • D. Incorrect as the trajectory is in circular shape.

Q14. De- Broglie suggested that every material particle has a wave length associated with it, given by

  • A. Hmv
  • B. λ = h/mv
  • C. λ = mv/h
  • D. λ = v/mh

Explanation: According to Louis de Broglie, every material particle has an associated wavelength, which is given by the de Broglie equation: λ = h/mvHere, ( λ ) is the wavelength, ( h ) is Planck’s constant, and ( p=mv) is the momentum of the particle.

Why the other options are wrong
  • A. Incorrect as correct formula is: λ = h/mv
  • C. Incorrect as correct formula is: λ = h/mv
  • D. Incorrect as correct formula is: λ = h/mv

Q15. An 'a' particle has the charge _.

  • A. +1B
  • B. +2e
  • C. +4e
  • D. Zero

Explanation: An ‘a’ particle, also known as an alpha particle, has a positive charge. Specifically, it has a net electrical charge of +2e. This is because an alpha particle is identical to the nucleus of the helium-4 atom, consisting of two protons and two neutrons bound together. Since protons carry a positive charge, the absence of electrons in an alpha particle results in a net positive charge.

Why the other options are wrong
  • A. Incorrect as alpha particle has a charge of '+2e".
  • C. Incorrect as alpha particle has a charge of '+2e".
  • D. Incorrect as alpha particle has a charge of '+2e".

Q16. Wein's formula is:

  • A. mt = constant
  • B. T/m = constant
  • C. λm/T = constant
  • D. None of these

Explanation: It refers to the product of the maximum wavelength (m) at which the intensity of radiation is maximum, and the absolute temperature (T) of the black body. This product is a constant.

Why the other options are wrong
  • B. Incorrect as per law.
  • C. Incorrect as per law.
  • D. Incorrect as option (a) is correct.

Q17. Mathematical form of the uncertainty principle is

  • A. E = mc2
  • B. E = hf
  • C. Δx × Δp = h / 4π
  • D. P = h/2π

Explanation: This equation: Δx × Δp = h / 4πis known as the Heisenberg Uncertainty Principle. It’s a fundamental concept in quantum mechanics that states it is impossible to simultaneously measure the exact position. The more precisely one of these values is known, the less precisely the other can be known.

Why the other options are wrong
  • A. Incorrect as per Heisenberg Uncertainty Principle.
  • B. Incorrect as per Heisenberg Uncertainty Principle.
  • D. Incorrect as per Heisenberg Uncertainty Principle.

Q18. Velocity of light is given by

  • A. c = 1 / √ε0 μ0
  • B. c = 1 / √ε0 μ0
  • C. c = 1 / ε0
  • D. ε0 / μ0

Explanation: The speed of light in a vacuum, denoted by "c" is indeed given by the equation c = 1 / √ε0 μ0where;ε0​ is the permittivity of free space.μ0​ is the permeability of free space.

Why the other options are wrong
  • B. Incorrect as correct formula is: c = 1 / √ε0 μ0
  • C. Incorrect as correct formula is: c = 1 / √ε0 μ0
  • D. Incorrect as correct formula is: c = 1 / √ε0 μ0

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