Q.

The particle executing simple harmonic motion has a kinetic energy K0cos2ωt.  The maximum values of the potential energy and the total energy are respectively:

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a

K0 and K0

b

K02 and K0

c

0 and 2K0

d

K0 and 2K0

answer is D.

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Detailed Solution

In simple harmonic motion, the total energy of the particle is constant at all instants which is totally kinetic when particle is passing through the mean position and is totally potential when particle is passing through the extreme position.

  EK=K0cos2ωt

        (EK)Max=K0

So,       (Ep)Max=K0  and      (E)Total=K0

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The particle executing simple harmonic motion has a kinetic energy K0cos2ωt.  The maximum values of the potential energy and the total energy are respectively: