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Question

Question: Which of the following statements is correct?...

Which of the following statements is correct?

A

Every periodic motion is simple harmonic motion

B

In simple harmonic motion the period is proportional to the square of the amplitude of oscillation

C

In simple harmonic motion the phase constant depend on initial condition

D

The resonance frequency of a driven oscillator depends on the damping

Answer

In simple harmonic motion the phase constant depend on initial condition

Explanation

Solution

All periodic motion is not simple harmonic motion but all simple harmonic motion is periodic

Hence, option (1) is an incorrect statement

In SHM, the period is independent on the amplitude of oscillation.

Hence, option (2) is an incorrect statement

In SHM, the phase constant is determined by the initial conditions

Hence option (3) is a correct statement.

The resonance frequency of a driven oscillator does not depend on the damping.

Hence option (4) is an incorrect statement.