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  4. A particle is executing simple harmonic motion with frequency f. The frequency at which its kinetic energy changes into potential energy is

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Q. A particle is executing simple harmonic motion with frequency $ f. $ The frequency at which its kinetic energy changes into potential energy is

Chhattisgarh PMTChhattisgarh PMT 2004

Solution:

$KE$ changes to $PE$ from $0$ to $A$ and $0$ to $B$.
Clearly for a complete vibration, $KE$ change in $PE$ $2$ times
So, the required frequency $ =2\times $ (frequency of $SHM) =2f $

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