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Q.

Starting from the origin a body oscillates simple harmonically with a period of 2 s. After what time will its kinetic energy be 75% of the total energy?

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a

13sec

b

112sec

c

16sec

d

14sec

answer is C.

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Detailed Solution

Velocity =A ω cos ωt KE=12mv2=12mA2ω2cos2ωt=3412mA2ω2 cos ωt=32⇒ωt=π6⇒t=16sec
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