Q.

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

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a

x=0

b

x=±A2

c

x=±A

d

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