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Free Simple Harmonic Motion MCQs with Answers

466 Simple Harmonic Motion MCQs from Physics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.

Simple harmonic motion is oscillation in which acceleration is directly proportional to displacement and directed toward the equilibrium position. Work includes displacement, velocity, acceleration, phase, period, frequency, amplitude and energy, with applications to springs and simple pendulums. The restoring force and the conditions for SHM distinguish it from general periodic motion.

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466 questions · page 24 of 24

461. The time period of a simple pendulum is 2 seconds. If its length is increased by 4 times, then its period becomes:

  • A. 16 sec
  • B. 12 sec
  • C. 8 sec
  • D. 4 sec

Explanation: The formula for the period of a simple pendulum is T = 2π √(l/g). The period is directly proportional to the square root of the length.

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Correct answer: 4 sec

462. A particle executes SHM along a straight line. Its amplitude is A. The potential energy of the particle is equal to the kinetic energy when the displacement of the particle from the mean position is:

  • A. Zero
  • B. ±A/2
  • C. ±A/√2
  • D. 2A

Explanation: When the potential energy is equal to the kinetic energy, we have:(1/2)kx^2 = (1/2)mv^2x^2 = (mv^2)/kv^2 = kx^2/mSubstituting v^2 into the…

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Correct answer: ±A/√2

463. In S.H.M, the fraction of kinetic energy to total energy when displacement is one-half of the Amplitude is

  • A. 1/8
  • B. 1/2
  • C. 1/4
  • D. 3/4

Explanation: Correct option is D)In case of SHMKE= 1/2 mω^2 (a ^2 −x ^2 ) and at x=a/2KE= 1/2 mω ^2 [a^2 −(a/2)^2 ]= 3/4 [ 1/2 mω^2 ^ 2 ]Total energy =…

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Correct answer: 3/4

464. The frequency of a second's pendulum is :

  • A. 1 Hz
  • B. 2 Hz
  • C. 5Hz
  • D. None of the above.

Explanation: A seconds pendulum has time period of 2 seconds and frequency of 0.5 Hz

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Correct answer: None of the above.

465. In Simple Harmonic Motion the acceleration of the particle is zero when its:

  • A. Velocity is zero
  • B. Displacement is zero
  • C. Both velocity and displacement are zero
  • D. Both velocity and displacement are maximum

Explanation: As we know; a ∝-x Where a=acceleration x=displacement As long as the pendulum in harmonic motion is moving, it covers a displacement and…

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Correct answer: Displacement is zero

466. In simple harmonic motion, the restoring force is minimum at:

  • A. Mean position
  • B. Extreme position
  • C. Midpoint of mean and extreme position
  • D. None of the above

Explanation: In simple harmonic motion, the restoring force is the force that brings an oscillating object back towards its equilibrium position.

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Correct answer: Mean position
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