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Q.

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

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a

a/4

b

a/3

c

a/2

d

2a/3

answer is C.

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Detailed Solution

UUmax=12mω2y212mω2a2 ⇒14=y2a2 ⇒y=a2
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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