In S.H.M. the displacement of a particle is half of the amplitude, the share of the potential energy and kinetic energy are

Options

A. `50%` and `50%` respectively
B. `59%` and `41%1` respectively
C. `25%` and `75%` respectively
D. `33%` and `66%` respectively

Answer

C

Explanation

`P.E.=(1)/(2) m omega^(2)(A^(2))/(4) at x=(A)/(2)`
`=(1)/(2) m omega^(2)A^(2)x25%`
`=25% T.E.`
`K.E.= 25% T.E.`