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 23 of 24
- A. Extreme position
- B. Mean position
- C. Between extreme and mean position
- D. Beyond extreme position
Explanation: The correct answer is that the body is at the extreme position at t = T/4.
Correct answer: Extreme position- A. T = g cos θ
- B. T = mg sin θ
- C. T = mg cos θ
- D. T = mg
Explanation: The correct answer is C: T = mg cos θ. In a simple pendulum, the tension in the string must balance the component of the gravitational…
Correct answer: T = mg cos θ- A. 1/4
- B. 1/2
- C. √2
- D. 1/√2
Explanation: f = 1/2π × √(g/L)where 'g' is the acceleration due to gravity and 'L' is the length of the pendulum.When the length of the pendulum is…
Correct answer: 1/√2- A. Greater than natural frequency
- B. Unequal the natural frequency
- C. Less than natural frequency
- D. Equal to the natural frequency
Explanation: Resonance occurs when the driving frequency equals the natural frequency.
Correct answer: Equal to the natural frequency- A. T2=T1
- B. T2=2T1
- C. T2=√2T1
- D. T2=T1/(√2)
Explanation: Time period T for a mass attached to a spring can be calculated by using the following formula: T=2𝝅√m/k T1=2𝝅√m/k…
Correct answer: T2=√2T1- A. π
- B. π/2
- C. π/4
- D. -π
Explanation: Inside the sin bracket we need π/2 to get us a 1 in order to satisfy the condition which is x=x0.
Correct answer: π/2- A. Large
- B. Small
- C. Maximum
- D. Zero
Explanation: If we consider a pendulum, we can see simple harmonic motion in it. According to the formula T = 2π √L/g , where L is the length of the…
Correct answer: Small- A. At the poles of the Earth
- B. At the equator of the Earth
- C. Anywhere on the surface of the Earth
- D. None of these
Explanation: The value of "g" is lowest at the equator. As T = 2π √L/g, so the Time period will be maximum hence the it would take more time to…
Correct answer: At the equator of the Earth- A. 0.008m/s
- B. 0.314m/s
- C. 0.125m/s
- D. 0.05m/s
Explanation: To determine the maximum speed of a particle in simple harmonic motion with an amplitude of 0.02 m and frequency of 2.5 Hz, we can use the…
Correct answer: 0.314m/s- A. Its length is doubled
- B. The mass of the bob is double
- C. Its length is made four time
- D. The mass and length of the pendulum is made two times
Explanation: The correct option is C Its length is made four times T = 2π√l/g⇒T∝√l , When length will be four times then,T =√4 =2 According to this…
Correct answer: Its length is made four time- A. 2.5 m
- B. 0.25 m
- C. 25 m
- D. 0.025 m
Explanation: The length of a simple pendulum can be calculated using the formula:L = gT² / 4π²Where 'L' is the length of the pendulum, 'g' is the…
Correct answer: 0.25 m- A. stone will stop at the centre of the earth
- B. stone will move out from the other side of the tunnel
- C. stone will perform simple harmonic motion
- D. none of these
Explanation: If a tunnel is bored through the center of the Earth and a stone is dropped into it, the stone will experience the gravitational force…
Correct answer: stone will perform simple harmonic motion- A. Phase angle
- B. Angular frequency
- C. Path difference
- D. Amplitude
Explanation: Amplitude specifies displacement and direction of SHM.
Correct answer: Amplitude- A. length of the pendulum
- B. time period of vibration of pendulum
- C. mass of the bob of pendulum
- D. value of 'g'
Explanation: Periodic force depends only on the length of a simple pendulum.
Correct answer: length of the pendulum- A. increased
- B. decreased
- C. the same
- D. halved
Explanation: The time period T of a spring-mass system is given by the formula T = 2π√(m/k), where m is the mass and k is the spring constant.
Correct answer: increased- A. Beats
- B. Interference
- C. Resonance
- D. Standing waves
Explanation: MRI, or Magnetic Resonance Imaging, operates on the principle of resonance.
Correct answer: Resonance457. If a hole is bored through the center of the earth and a pebble is dropped in it, then it will:
- A. Stop at the center of the earth
- B. Drop to the other side
- C. Execute SHM
- D. None of the above.
Explanation: The pebble would fall down to the other side and in a ideal situation would oscillate between the two ends in simple harmonic motion.
Correct answer: Execute SHM- A. π/10s
- B. π/5s
- C. π/4s
- D. π/2s
Explanation: x=10sin4t , period T=?We know that x=x°sinθ x= x°sin wtx=x° sin2πftComparing10sin4t= x° sin2πft4=2πf4=2π/TT=2π/4T=π/2 sec ans
Correct answer: π/2s- A. Inversely proportional to the square of the amplitude
- B. Directly proportional to the amplitude
- C. Zero
- D. Directly proportional to the square of the amplitude
Explanation: In simple harmonic motion (S.H.M.), the total energy is a constant sum of kinetic and potential energies, and is given by the formula E =…
Correct answer: Directly proportional to the square of the amplitude- A. T
- B. 1
- C. 2T
- D. T/2
Explanation: The period of a simple harmonic oscillator, such as a weight on an ideal spring, is given by the formula T = 2π√(m/k), where m is the mass…
Correct answer: T