When the potential energy of a particle executing simple harmonic motion is one-fourth of its maximum value during the oscillation, the displacement of the particle from the equilibrium position in terms of its amplitude a is

Options

A. A/4
B. A/3
C. A/2
D. 2A/3

Answer

C

Explanation

`(PE)/((PE)_(Max))=((1)/(2)momega^(2)y^(2))/((1)/(2)momega^(2)A^(2))implies (1)/(4)=(y^(2))/(A^(2))`
`implies y=(A)/(2)`.