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Questions  

A particle executes simple harmonic motion with an amplitude of 5cm. When the particle is at 4cm from the mean position. The magnitude of its velocity in SI units is equal to that of its acceleration. Then its periodic time in seconds is

a
8π3
b
3π8
c
7π3
d
4π3

detailed solution

Correct option is A

Amplitude A=5cm   given Velocity of particle=acceleration of particle  at displacement y=4 ⇒ωA2−y2=ω2y, here w is angular velocity ⇒52−42=ω.4 34=ω=2πT ⇒time period is T=8π3s

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