A body is executing simple harmonic motion. At a displacement \( x \) its potential energy is \(...

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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 potential energy \( E \) at displacement \( (x+y) \) is
(a) \( \sqrt{E}=\sqrt{E_{1}}-\sqrt{E_{2}} \)
(b) \( \sqrt{E}=\sqrt{E_{1}}+\sqrt{E_{2}} \)
(c) \( E=E_{1}-E_{2} \)
(d) \( E=E_{1}+E_{2} \)
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