Question

Among the following, the correct statement is ___

• 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 depends on initial condition.
• D. The resonance frequency of a driven oscillator depends on the damping.

Answer 1

Answer: (C)

All periodic motion is not simple harmonic motion but all simple harmonic motion is periodic.
Hence, option $\left(A\right)$ is an incorrect statement.
In $SHM,$ the period is independent on the amplitude of oscillation.
Hence, option $(B)$ is an incorrect statement.
In $SHM$ , the phase constant is determined by the initial conditions.
Hence, option $(C)$ is a correct statement.
The resonance frequency of a driven oscillator does not depend on the damping.
Hence, option $(D)$ is an incorrect statement.