For what value of displacement the kinetic energy and potential energy of a simple harmonic oscillator become equal?

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x=0

x=±A2

x=±A

x=A2

answer is B.

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Detailed Solution

Given KE and PE of SHM oscillator are equal12mω2A2−x2=12mω2x2 ⇒A2−x2=x2 ⇒ A2=2x2 ⇒ x=±A2

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