A body is executing simple harmonic motion. At a displacement $x$ its potential energy is $E_1$ and at a displacement $y$ its potential energy is $E_2$. The potenital energy $(E)$ at displacement $(x+y)$ is :

Question

( A ) $\sqrt{E} = \sqrt{E_1} + \sqrt{E_2}$
( B ) $E = E_1 + E_2$
( C ) $E = E_1 - E_2$
( D ) $\sqrt{E} = \sqrt{E_1} - \sqrt{E_2}$