Question

A simple harmonic oscillator has a period $T$ and energy $E$. The amplitude of the oscillator is doubled. Choose the correct answer

• A. Period and energy get doubled
• B. Period gets doubled while energy remains the same
• C. Energy gets doubled while period remains the same
• D. Period remains the same and energy becomes four times

Answer 1

Answer: (D)

The period of harmonic oscillator does not depend on the amplitude of oscillation .
Energy of oscillator, $E=\frac{1}{2}m{\omega }^2{A}^2,E\propto A^2$
So, if amplitude $(A)$ is doubled, its energy becomes $4$ times.