Potential energy of a particle of mass 80 gm varies with its distance (x) from a fixed point on its line of motion according to the graph shown in the figure. Then time period of oscillation of the particle is

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50/π Hz

25/π Hz

100/π Hz

500/π Hz

answer is B.

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Detailed Solution

Energy of oscillation =0.20−0.04J=0.16J∴ 12×801000×41002.ω2=0.16⇒ω2=625×14×16⇒ω=50 rad/s∴ f=ω2π=502πHz=25/π Hz

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