Question

The total energy of a simple harmonic oscillator is proportional to ______.

Options

• square of the amplitude

• square root of displacement

• amplitude

• frequency

Answer 1

The total energy of a simple harmonic oscillator is proportional to square of the amplitude.

Explanation:

Total energy of simple harmonic oscillator is given by

E = ${\displaystyle \frac{1}{2}\text{m}{\omega }^2{\text{A}}^2}$

where, m = mass of body performing SHM,

ω = angular velocity

and A = amplitude.

∴ E ∝ A²