A body executes SHM with an amplitude a. At what displacement from the mean positions, the potentail energy of the body is one-fourth of its total energy?

Options

A. `(A)/(4)`
B. `(A)/(2)`
C. `(A)/(3)`
D. `(3A)/(4)`

Answer

B

Explanation

`(1)/(2)m omega^(2)x^(2)=(1)/(4)[(1)/(2)m omega^(2)A^(2)]`
`therefore x^(2)=(A^(2))/(4) therefore x=(A)/(2)`