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 10 of 24

  • A. Undamped
  • B. Underdamped
  • C. Critically damped
  • D. Overdamped

Explanation: In the context of the scenario described, option b) "Underdamped" is the correct answer, as it accurately characterizes the behavior of…

Correct answer: Underdamped
  • A. Strain
  • B. Stress
  • C. Elasticity
  • D. Equilibrium

Explanation: In physics, stress is defined as the force applied per unit area to a material.

Correct answer: Stress
  • A. The spring with force constant k1 and the block of mass m1
  • B. The spring with force constant k1 and the block of mass m2
  • C. The spring with force constant k2 and the block of mass m1
  • D. The spring with force constant k2 and the block of mass m2
  • E. All the combinations above would give the same period

Explanation: The period of the spring-block simple harmonic oscillator is given by the equation T =2π√m/k so, to make T as small as possible, we want m…

Correct answer: The spring with force constant k1 and the block of mass m2
  • A. 4.567
  • B. 3.416
  • C. 2.315
  • D. 1.325
  • E. 0.628

Explanation: This is the solution to this question: The time period of vibration can be calculated using the formula: T = 2π * √(m/k) where T is the…

Correct answer: 0.628
  • A. Remain the same
  • B. Decrease
  • C. First decrease then increase
  • D. Increase

Explanation: The time period T of a simple pendulum is given by the formula T = 2π√(l/g), where l is the length of the pendulum and g is the…

Correct answer: Increase
  • A. 3.973 m
  • B. 5.123 m
  • C. 7.111 m
  • D. 9.231 m
  • E. 12.141 m

Explanation: To find the length of the pendulum, use the formula for the time period of a simple pendulum: T = 2π√(l/g).

Correct answer: 3.973 m
  • A. 1:√2
  • B. 1:2
  • C. 2:1
  • D. √2:1

Explanation: This is the correct answer. The time period of a spring-mass system is given by T = 2π√(m/k), where T is the time period, m is the mass…

Correct answer: 1:√2
  • A. Increasing the length of the pendulum
  • B. Decreasing the length of the pendulum
  • C. Using a heavier bob
  • D. Using a lighter bob

Explanation: The 'time of one vibration' of the simple pendulum can be decreased by decreasing the pendulum length.

Correct answer: Decreasing the length of the pendulum
  • A. Murree
  • B. Karachi
  • C. K-2
  • D. Peshawar

Explanation: At higher altitudes, the value of g decreases slightly compared to its value at sea level.

Correct answer: K-2
  • A. X = a(sin2 ω t + cos2 ω t)
  • B. X = a(sin ω t cos2 ω t)
  • C. X = a sin ω t
  • D. X = a2 sin (sin ω t)

Explanation: X = a sin ω t is the standard equation of SHM, in which a corresponds to amplitude.

Correct answer: X = a sin ω t
  • A. Option A
  • B. Option B
  • C. Option C
  • D. Option D

Explanation: The K.E of an oscillating body is maximum at the equilibirum position because speed is maximum at that point, and is 0 at the extreme…

Correct answer: Option A
  • A. Energy ; dissipated
  • B. Energy ; generated
  • C. Energy ; conserved
  • D. Energy ; stored

Explanation: In undamped motion, energy remains constant since there is no work done against the damping force.

Correct answer: Energy ; dissipated
  • A. Variable
  • B. Infinity
  • C. Constant
  • D. Zero

Explanation: During the oscillations, the total energy is constant and equal to the sum of the potential energy and the kinetic energy of the system…

Correct answer: Constant
  • A. A restoring force
  • B. Its weight
  • C. Centripetal force
  • D. Force of friction

Explanation: An object in such motion oscillates about an equilibrium position due to a restoring force or torque.

Correct answer: A restoring force
  • A. 16 J
  • B. 4J
  • C. 32 J
  • D. 24 J

Explanation: Work done is found using the formula = ½ x k x [(x2)^2 - (x1)^2]= ½ x 400 x [(0.15)^2 - (0.05)^2]= 4 J

Correct answer: 4J
  • A. 3√2
  • B. 1√2
  • C. 2√2
  • D. √2

Explanation: The formula for time period is: T = 2π x √L/gUsing this formula, we see that doubling length results in multiplying time period with √2.

Correct answer: √2
  • A. Inversely proportional
  • B. Directly proportional
  • C. Acting positive
  • D. Independent

Explanation: Option B is correct because in a simple pendulum, the acceleration is directly proportional to the displacement from the equilibrium…

Correct answer: Directly proportional
  • A. Maximum kinetic energy of the mass
  • B. Average speed of the mass
  • C. Total energy of the mass
  • D. Angular frequency of the oscillation

Explanation: The angular frequency refers to the angular displacement per unit time and is calculated from the frequency with the equation ω=2πf.The…

Correct answer: Angular frequency of the oscillation
  • A. 1/2π rad/s
  • B. 120π rad/s
  • C. 30/π rad/s
  • D. 2π rad/s

Explanation: Angular velocity is denoted by ω.As given,ω = 60 rev/min1 rev = 2π rad, and 1 min = 60 s.

Correct answer: 2π rad/s