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Simple Harmonic Motion

Question

A particle of mass $$1\ kg$$ is moving where potential energy varies as displacement $$U=10(1-\cos 2x)$$ then:

A

time period for $$S.H.M.$$ is $$2\pi\sqrt{\dfrac{1}{20}}$$

B

time period for $$S.H.M.$$ is $$2\pi\sqrt{\dfrac{1}{40}}$$

C

amplitude of oscillation is $$\dfrac{\pi}{4}$$

D

speed of particle is maximum at $$x=0$$

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Solution

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Correct option is D. time period for $$S.H.M.$$ is $$2\pi\sqrt{\dfrac{1}{40}}$$

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