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

Options

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

D

Explanation

The period of harmonic oscillator does not depend on the amplitude of oscillation.
Energy of oscillator, `E=(1)/(2)momega^(2)A^(2),EpropA^(2)`
So, if amplitude (A) is double, its energy becomes 4 times.