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 12 of 24
- A. π
- B. 2 π
- C. 1/π
- D. ½ π
Explanation: T=2 π √(m/k). Where m/k is ¼. After replacing values T=2 π √(1/4) which equals to π.
Correct answer: π- A. T/4 only
- B. 3T/4
- C. 0, T/4, 3T/4 and T
- D. 0, T/2 and T
Explanation: As seen on the graph displacement is 0 on points A,C and T (at the end) which are times 0, T/2 and T.
Correct answer: 0, T/2 and T- A. Beats
- B. Overtones
- C. Resonance
- D. Stationary waves
Explanation: Resonance occurs when an external force matches the natural frequency of a system, leading to an increase in amplitude of vibrations.
Correct answer: Resonance- A. A
- B. B
- C. C
- D. D
Explanation: Potential energy and Kinetic energy interconvert into one another during simple harmonic motion, but the total energy remains constant…
Correct answer: D- A. A
- B. B
- C. C
- D. D
Explanation: In a mass-spring system, the kinetic energy is given by the formula: KE = ½ mv²In the case of a vibrating mass-spring system, the maximum…
Correct answer: B- A. Damped
- B. Critical
- C. Undamped
- D. Heavily damped
Explanation: In undamped oscillations, the amplitude remains constant over time. The absence of dissipative forces, such as friction or air resistance…
Correct answer: Undamped- A. A
- B. B
- C. C
- D. D
Explanation: In a simple harmonic motion, the velocity of the particle at any point can be expressed as: v = ω√(xo² - x²)Where,v is the velocity of the…
Correct answer: A- A. π
- B. π/2
- C. -π/2
- D. -π
Explanation: In simple harmonic motion (S.H.M.), the displacement x is given by x = a sin(ωt).
Correct answer: π/2- A. f/2
- B. f
- C. 2f
- D. 4f
Explanation: K.E=½ mw2(x02-x2) = ½ mw2 (x02- x02sin2 wt) =½ mw2 x02(1-sin2 wt) =½ mw2 x02cos2 wt =½ mw2 x02(1+cos2 wt/2 ) =¼ mw2 x02 +¼ mw2 x02cos2wt…
Correct answer: 2f- A. 16s
- B. 12s
- C. 8s
- D. 4s
Explanation: The formula for the period of a simple pendulum is: T = 2π √(L/g) Where: T is the period of the pendulum, L is the length of the pendulum…
Correct answer: 4s- A. Zero
- B. Infinite
- C. Maximum
- D. Information is Insufficient
Explanation: The potential energy (U) of a spring at its equilibrium position is zero.
Correct answer: Zero- A. 1.2 s
- B. 3.4 s
- C. 8.1 s
- D. 9.6 s
Explanation: The correct option is D. It is given that the observer is moving at a speed of 0.95 c .
Correct answer: 9.6 s- A. 170 Hz, 340 Hz, 510 Hz
- B. 120 Hz, 220 Hz, 390 Hz
- C. 90 Hz., 230 Hz, 440 Hz
- D. 210 Hz, 410 Hz, 510 Hz
Explanation: For a pipe opened at both ends, the fundamental frequency is given by F1 = v/2L. In this case, F1 = 340/2(1) = 170 Hz.
Correct answer: 170 Hz, 340 Hz, 510 Hz- A. 0°
- B. 90°
- C. 180°
- D. 270°
Explanation: A wave's phase refers to a point's position on the wave cycle at a given time.
Correct answer: 180°- A. mass
- B. length
- C. vibration
- D. tension in the string
Explanation: Increasing the vibration of a simple pendulum can actually reduce the uncertainty in its time period.
Correct answer: vibration- A. E = mgh
- B. E = 1/2 kxo2
- C. E = 1/2 mv2
- D. E = -GMm/R
Explanation: In a spring-mass system, the maximum potential energy occurs when the spring is stretched or compressed to its maximum displacement, which…
Correct answer: E = 1/2 kxo2- A. A
- B. B
- C. C
- D. D
Explanation: The potential energy stored in a spring is given by Hooke's Law, which states that the force exerted by a spring is directly proportional…
Correct answer: A- A. A
- B. B
- C. C
- D. D
Explanation: Damping refers to the dissipative forces that act on an oscillating system, causing it to lose energy and eventually come to rest.
Correct answer: A- A. A
- B. B
- C. C
- D. D
Explanation: In the absence of damping forces, the amplitude of oscillations in a vacuum due to forced oscillations can become arbitrarily large during…
Correct answer: B- A. f2 - f1
- B. f2 x f1
- C. f1 - f2
- D. f2 + f1
Explanation: The beat frequency is the difference in frequency between two interacting waves.
Correct answer: f2 - f1