Physics question bank with solutions

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• MCQmediumMathematical tools and vectorApplications of Differentiation

  A particle moves as x = 6sin(2t) metres. Find its velocity at t = π/8 s.

  Options

  • Option A

    12 m s⁻¹

  • Option B

    -6√2 m s⁻¹

  • Option C

    6√2 m s⁻¹

  • Option D

    3√2 m s⁻¹

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• MCQmediumProperties of solid and fluidproperties of fluid and surface tension

  Two soap bubbles of radii R₁ and R₂, with R₁ smaller than R₂, are connected by a narrow tube. Both bubbles are made from the same soap solution and are initially at the same temperature. What happens immediately after the connection is opened?

  Options

  • Option A

    Air flows from the larger bubble to the smaller bubble.

  • Option B

    Air flows from the smaller bubble to the larger bubble.

  • Option C

    No air flows because both objects are soap bubbles.

  • Option D

    The larger bubble has the greater excess pressure.

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• IntegermediumCircular Motion

  A transverse harmonic wave on a string is y(x, t) = 5 sin(6t + 0.003x), where x and y are in cm and t is in seconds. The wave speed is ______ m s⁻¹.

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• MCQmediumFluid Mechanicspascal law and buoyant force

  A body of density 0.8ρ floats in a liquid of density ρ. The vessel is accelerated vertically upward with constant acceleration a. The fraction of the body's volume submerged is:

  Options

  • Option A

    0.8

  • Option B

    0.8g/(g+a)

  • Option C

    0.8(g+a)/g

  • Option D

    Depends on a

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• MCQeasyMathematical tools and vectorApplications of Differentiation

  Find the slope of y = tan x at x = 0.

  Options

  • Option A

    -1

  • Option B

    1

  • Option C

    0

  • Option D

    2

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• MCQeasyProperties of solid and fluidproperties of fluid and surface tension

  A clean steel needle can sometimes be placed carefully on the surface of water without sinking even though the density of steel is much greater than the density of water. Which explanation is most appropriate?

  Options

  • Option A

    Surface tension provides upward components of force along the contact line, in addition to any buoyant force.

  • Option B

    Water density becomes greater than steel density near the surface.

  • Option C

    Atmospheric pressure acts only below the needle.

  • Option D

    The gravitational force on the needle becomes zero at the water surface.

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• Multi-correctmediumWork , Power and Energykinetic energy and work energy theorem

  For a non-relativistic particle of mass m, K = p²/(2m). Which statements are correct?

  Select all that apply

  • Option A

    If momentum magnitude doubles, kinetic energy becomes four times

  • Option B

    Two bodies having equal momentum necessarily have equal kinetic energy

  • Option C

    For fixed momentum, the smaller mass has greater kinetic energy

  • Option D

    For fixed kinetic energy, the larger mass has greater momentum magnitude

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• MCQmediumWave Motiondoppler effect

  A stationary sound source emits frequency f in still air. An observer moves directly towards the source with speed uₒ. Which statement about the wavelength in the air and the observed frequency is correct?

  Options

  • Option A

    The wavelength in the air decreases because the observer moves towards the source.

  • Option B

    The wavelength in the air increases because the observer moves towards the source.

  • Option C

    The wavelength in the air remains v/f, but the observer encounters wavefronts at a greater rate.

  • Option D

    Both wavelength and frequency of the wave in the medium increase.

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• NumericmediumNuclear physicsNucles and its density radius and mass defect ,binding energy and its curve

  Assume that protons and neutrons have equal masses. Mass of a nucleon is 1.6 × 10⁻²⁷ kg and radius of nucleus is 1.5 × 10⁻¹⁵ A¹ᐟ³ m. The approximate ratio of the nuclear density and water density is n × 10¹³. The value of n is _______ .

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• MCQmediumElectromagnetic wavedisplacement current and properties of electromagnetic wave

  Match List I with List II

  List-I
  A. Gauss’s law of magnetostatics
  B. Faraday’s law of electro magnetic induction
  C. Ampere’s law
  D. Gauss’s law of electrostatics

  List-II

  I. ∮$\vec{E}$·$\vec{dA}$ = (1/ε₀)∫ρ dV

  II. $\int\vec{B.}\vec{dA}$= 0

  III.$\int\vec{E}.\vec{dl}$= -d/dt ∫ $\vec{B.}\vec{dl}$

  IV. ∮$\vec{B}.\vec{dl}$= μ₀I

  Choose the correct answer from the options given below:

  Options

  • Option A

    A-I, B-III, C-IV, D-II

  • Option B

    A-III, B-IV, C-I, D-II

  • Option C

    A-IV, B-II, C-III, D-I

  • Option D

    A-II, B-III, C-IV, D-I

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