Question types

Simple Harmonic Motion question types

332 questions across 2 question groups — pick any mix to generate a JEE physics paper with step-by-step answer keys.

332
Questions
2
Question groups
5
Question types
Sample Questions

Simple Harmonic Motion questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Assertion : Consider motion for a mass spring system under gravity, motion of $M$ is not a simple harmonic motion unless $M g$ is negligibly small.
Reason : For simple harmonic motion acceleration must be proportional to displacement and is directed towards the mean position

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Assertion : In simple harmonic motion, the velocity is maximum when acceleration is minimum
Reason : Displacement and velocity of S.H.M. differ is phase by
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Assertion : Resonance is special case of forced vibration in which the natural frequency of vibration of the body is the same as the impressed frequency of external periodic force and the amplitude of forced vibration is maximum.
Reason : The amplitude of forced vibrations of a body increases with an increase in the frequency of the externally impressed periodic force.
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Assertion : In S.H.M., the motion is 'to and fro' and periodic.
Reason : Velocity of the particle $v \sqrt{k \quad x}$ (where $x$ is the displacement and $k$ is amplitude)
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Q 6MCQ1 Mark
The displacement $x$ (in metre) of a particle in, simple harmonic motion is related to time $t$ (in seconds) as$x=0.01 \cos \left(\pi t+\frac{\pi}{4}\right)$ The frequency of the motion will be
  • $0.5 Hz$
  • B
    $1.0 Hz$
  • C
    $\frac{\pi}{2} Hz$
  • D
    $\pi H z$

Answer: A.

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Q 7MCQ1 Mark
A particle executes a simple harmonic motion of time period $T$. Find the time taken by the particle to go directly from its mean position to half the amplitude
  • A
    $T / 2$
  • B
    $T / 4$
  • C
    $T / 8$
  • $T / 12$

Answer: D.

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Q 8MCQ1 Mark
In simple harmonic motion, the ratio of acceleration of the particle to its displacement at any time is a measure of
  • A
    Spring constant
  • B
    Angular frequency
  • (Angular frequency)
  • D
    Restoring force

Answer: C.

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Q 9MCQ1 Mark
What is constant in S.H.M.
  • A
    Restoring force
  • B
    Kinetic energy
  • C
    Potential energy
  • Periodic time

Answer: D.

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Q 10MCQ1 Mark
A simple pendulum is hanging from a peg inserted in a vertical wall. lts bob is stretched in horizontal position from the wall and is left free to move. The bob hits on the wall the coefficient of restitution is $\frac{2}{\sqrt{5}}$. After how many collisions the amplitude of vibration will become less than $60^{\circ}$
  • A
    6
  • 3
  • C
    5
  • D
    4

Answer: B.

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