Question

Energy of particle executing $\text{SHM}$ depends upon

• A. Amplitude only
• B. Amplitude and frequency
• C. Velocity only
• D. Frequency only

Answer 1

The correct option is B Amplitude and frequency

Energy of particle executing SHM $\left(E\right)=\frac{1}{2}m{\omega }^2{A}^2+U_{mean}$
Where $U_{mean}$ is the $\text{(}PE)$ at mean position
$=\frac{1}{2}m(2\pi f{)}^2{A}^2+U_{mean}$
$(\because T=\frac{2\pi }{\omega }=\frac{1}{f})$
$=2{\pi }^{2}m{f}^2{A}^2+U_{mean}$
$\therefore E$ depends on both frequency and amplitude.