The potential energy of a simple harmonic oscillator when the particle is half way to its end point is……….(where E is total (mechanical) energy)

Options

A. `(1)/(2)E`
B. `(2)/(3)E`
C. `(1)/(8)E`
D. `(1)/(4)E`

Answer

D

Explanation

`E= (1)/(2) m omega^(2) A^(2)`
Potential energy `= (1)/(2)m omega^(2) y^(2)`
`=(1)/(2)m omega^(2) (A/2)^(2) = (E )/(4)`.