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.

Last updated

466 questions · page 22 of 24

  • A. A
  • B. B
  • C. C
  • D. D

Explanation: The time period of a simple pendulum is directly proportional to the square root of its length and inversely proportional to the square…

Correct answer: D
  • A. Displacement is maximum
  • B. Half way between them
  • C. Crossing mean position
  • D. At rest

Explanation: The restoring force of Simple Harmonic Motion (SHM) is maximum when the displacement of the particle is maximum.

Correct answer: Displacement is maximum
  • A. Reduce the mass to one fourth
  • B. Quadruple the mass
  • C. Double the mass
  • D. Half the mass

Explanation: The frequency of a spring oscillation is given by the formula:f = 1 / (2π) √(k/m)Where f is the frequency, k is the spring constant, and m…

Correct answer: Reduce the mass to one fourth
  • A. 0.51 xo
  • B. 0.61 xo
  • C. 0.71 xo
  • D. 0.81 xo

Explanation: In Simple Harmonic Motion (S.H.M.), the kinetic energy (K.E.) and potential energy (P.E.) of a particle oscillating about its mean…

Correct answer: 0.71 xo
  • A. Displacement is zero
  • B. Amplitude is zero
  • C. Velocity is a zero
  • D. P.E is zero

Explanation: Correct option c) Velocity is zero: At the extreme positions (the points where the body momentarily stops before changing direction) in…

Correct answer: Velocity is a zero
  • A. Towards the mean position
  • B. Away from the mean position
  • C. Perpendicular to the mean position upward
  • D. Perpendicular to the mean position downward

Explanation: b) Away from the mean position:This option suggests that the instantaneous acceleration of a system executing SHM is directed away from…

Correct answer: Away from the mean position
  • A. One half
  • B. Doubled
  • C. Remains constant
  • D. One fourth

Explanation: c) Remains constant:This option suggests that if the mass of the bob of a simple pendulum is doubled, its time period will remain…

Correct answer: Remains constant
  • A. Right hand
  • B. Upwards
  • C. Rest or mean position
  • D. Extreme position

Explanation: Restoring force is always directed opposite to the object's displacement or towards the mean/equilibrium position.

Correct answer: Rest or mean position
  • A. Reduce mass to one fourth
  • B. Quadruple the mass
  • C. Reduce mass to one sixteenth
  • D. Double the mass

Explanation: Frequency of the spring oscillator is directly protion to √(1/m). Thus to quadraple the frequency, we will have to reduce the mass by 1/16

Correct answer: Reduce mass to one sixteenth
  • A. 1s
  • B. 2s
  • C. 3s
  • D. 4s

Explanation: T=2π(m/K)1/2 ⇒2=2π (m/K)1/2 T =2π (4m/K)1/2 ⇒T =2×2π (m/K)1/2 T =2×2=4 Sec

Correct answer: 4s
  • A. 3.16 ms-1
  • B. 10 ms-1
  • C. 100 ms-1
  • D. 50 ms -1

Explanation: At the extreme displacement, the potential energy, (PE= mgh = 2x10x0.5= 10J) is equal to the total energy of the system.At the mean…

Correct answer: 3.16 ms-1
  • A. Inversely proportional
  • B. Directly proportional
  • C. Acting negative
  • D. Both Options B and C are correct

Explanation: In case of simple pendulum a= -(g/l) xAccording to this equation,acceleration of a simple pendulum is directly proportional and acting…

Correct answer: Both Options B and C are correct
  • A. Variable
  • B. Infinity
  • C. Constant
  • D. Zero

Explanation: Option C is correct since in an oscillation system, the energy can take various forms like potential, and kinetic but the total energy…

Correct answer: Constant
  • A. 2πxo/ao
  • B. 2πao/xo
  • C. 2πaoxo
  • D. 2π/aoxo

Explanation: In simple harmonic motion, the velocity is given byV max = wxoWhere,w= 2π/TVmax = aO Therefore the equation becomesaO = {2π/T} x (xo)The…

Correct answer: 2πxo/ao
  • A. Variable
  • B. Infinity
  • C. Constant
  • D. Zero

Explanation: The total energy of the system remains constant throughout the motion, and mechanical energy is conserved in simple harmonic motion.

Correct answer: Constant
  • A. v/3
  • B. 2v
  • C. 3/2 V
  • D. 0

Explanation: 0 is the speed at which the object undergoes simple harmonic motion.Amplitude is xoThe speed of the object is, vThe first displacement of…

Correct answer: 0
  • A. Halved.
  • B. Doubled.
  • C. Unchanged.
  • D. Increase four times.

Explanation: The time period of a pendulum does not depend on the mass of the bob. So if the mass of bob is doubled, the time period will remain…

Correct answer: Unchanged.
  • A. l
  • B. 1/l
  • C. √l
  • D. 1/ √l

Explanation: f=1/2π √(g/l)2πf=√(g/l)Given that ω=2πf where ω is angular frequency,ω=√(g/l)ω∝1/√l

Correct answer: 1/ √l
  • A. Gravity
  • B. Simple harmonic
  • C. Uniform
  • D. Projectile

Explanation: One of the conditions for the back and forth motion to be classified as Simple Harmonic Motion is the acceleration being directly…

Correct answer: Simple harmonic
  • A. One fourth
  • B. 3/4
  • C. Half
  • D. Double

Explanation: Explanation: T = 2π√m/kKeeping in mind the above relation, time period is directly proportional to the square root of mass.

Correct answer: Double