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 13 of 24
- A. Its acceleration is directly proportional to displacement and directed towards the mean position
- B. Its acceleration is inversely proportional to displacement and directed away from the mean position
- C. Its acceleration is inversely proportional to displacement and directed towards the mean position
- D. Its acceleration is directly proportional to displacement and directed away from the mean position
Explanation: In simple harmonic motion (SHM), a body moves in such a way that its acceleration is directly proportional to its displacement from a…
Correct answer: Its acceleration is directly proportional to displacement and directed towards the mean position- A. 200Hz
- B. 150Hz
- C. 12.5Hz
- D. 250Hz
Explanation: Since in case of string fixed at both ends harmonics are integral multiple of fundamental frequency, fn =n(f)So, for fourth harmonic, f4 =…
Correct answer: 200Hz- A. Distance
- B. Displacement
- C. Amplitude
- D. Frequency
Explanation: In vibratory motion, maximum displacement of body on either side of its equilibrium position is known as amplitude.
Correct answer: Amplitude- A. Frequency
- B. Amplitude
- C. Wavelength
- D. Value of 'g'
Explanation: One characteristic of SHM is that the period of the vibration is independent of its amplitude
Correct answer: Amplitude- A. Four times
- B. Two times
- C. Half
- D. one fourth
Explanation: By understanding the relationship between the length of a pendulum and its time period, we can deduce that if the length becomes four…
Correct answer: Two times- A. 2T
- B. 4T
- C. 8T
- D. 16T
Explanation: The frequency of a stretched string is given by the formula f = (1/2L)√(T/μ), where T is the tension, L is the length of the string, and μ…
Correct answer: 4T- A. Minimum
- B. Maximum
- C. Zero
- D. Greater than its kinetic energy
Explanation: In SHM, kinetic energy is maximum at mean position and zero at the extreme positions while potential energy is zero at mean position and…
Correct answer: Maximum- A. 4√2 mm
- B. 4√3 mm
- C. 8 mm
- D. 4 mm
Explanation: Explanation: x = 8.0 sin(10π/3 × 0.05) = 8.0 sin(π/6) = 8.0 × 0.5 = 4.0 mm
Correct answer: 4 mm- A. a ∝ x
- B. a ∝-x
- C. a=x
- D. a = kx
- E. a = -x
Explanation: The most appropriate mathematical expression of smple harmonic motion is: a directly proprtional -x, so option B is correct answer.
Correct answer: a ∝-x- A. Never
- B. After 10 minutes
- C. In 10 minutes
- D. Immediately
Explanation: In the absence of resistive forces, the oscillations will never stop. In simple harmonic motion, such as oscillations of a mass-spring…
Correct answer: Never251. Reducing mass M of a suspending body to one fourth will change the frequency of oscillation to:
- A. One fourth
- B. Double
- C. Quardruple
- D. Half
Explanation: The relationship between the frequency and the mass of an object undergoing simple harmonic motion can be expressed as: f = 1 / √M When…
Correct answer: Double- A. K.E is maximum at extreme position
- B. P.E is maximum at extreme position
- C. Both K.E and P.E are minimum at mean position
- D. P.E is maximum at mean position
Explanation: In simple harmonic motion, the formula for kinetic energy and potential energy are as below: K.E=1/2mv2(a2-x2) and U=1/2mv2x2Step1…
Correct answer: P.E is maximum at extreme position- A. T
- B. 3T
- C. T/3
- D. 2T
Explanation: The time period of a simple pendulum is given by:T=2π√l/gAccording to the above formula, the time period of a simple pendulum is…
Correct answer: T- A. 1/2 (amplitude)
- B. 1/√2 (amplitude)
- C. 1/√3 (amplitude)
- D. None
Explanation: In a simple harmonic oscillator, the kinetic energy (KE) is equal to half the potential energy (PE) at any given point.
Correct answer: 1/√3 (amplitude)- A. 1:2
- B. 1:4
- C. 1:14
- D. Infinity
Explanation: For a simple pendulum, the ratio of the amplitude to the displacement after a given time is 1:2.
Correct answer: 1:2- A. The motion of the earth around the sun
- B. The motion of a mass attached with a string on a vertical circle
- C. The motion of a minutes hand in the clock
- D. The motion of a spinning top
Explanation: The motion of earth around the sun is the best example of uniform circular motion. Therefore, option A is the only correct answer.
Correct answer: The motion of the earth around the sun- A. 5 m/s
- B. 10 m/s
- C. 15 m/s
- D. 20 m/s
Explanation: Drop in P.E = Gain in K.Emg (2-0.75) = 1 mv²v = √2g (1.25) = 5 m/s
Correct answer: 5 m/s- A. mg cosθ
- B. mg tanθ
- C. mg2 sinθ
- D. mg sinθ
Explanation: The force responsible for the simple harmonic motion of a simple pendulum is the component of gravitational force that acts along the arc…
Correct answer: mg sinθ- A. E =-2kx
- B. E=0.5(kx^2)
- C. E= -kx²
- D. E = kx
Explanation: The total energy E of a body at any instant, executing simple harmonic motion, is given by E=0.5(kx^2).
Correct answer: E=0.5(kx^2)- A. Increases 2 times
- B. Decreases 4 times
- C. Remains the same
- D. Increases 4 times
- E. Decreases 2 times
Explanation: The frequency of a simple pendulum is determined by the formula f = 1/2π√(g/L), which shows that the frequency is inversely proportional…
Correct answer: Decreases 2 times