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Question

Physics Question on Oscillations

The particle executing simple harmonic motion has a kinetic energy K0cos2ωtK_0 \cos^2 \omega t.. The maximum values of the potential energy and the total energy are respectively

A

K0/2K_0 / 2 and K0 K_0

B

K0K_0 and 2K0 2K_0

C

K0K_0 and K0 K_0

D

0 and 2K0 2 K_0

Answer

K0K_0 and K0 K_0

Explanation

Solution

K.E.=K0cos2ωt\because K.E. = K _{0} \cos ^{2} \omega t
\therefore Maximum P.E.=P.E. = Maximum K.EK.E
== Total energy =K0= K _{0}