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A particle is executing simple harmonic ...

A particle is executing simple harmonic motion (SHM) of amplitude A, along the x-axis, about x = 0. When its potential Energy (PE) equals kinetic energy (KE), the position of the particle will be :

A

`A/sqrt(2)`

B

`A/2sqrt(2)`

C

A

D

`A/2`

Text Solution

Verified by Experts

The correct Answer is:
A
KE=PE
`1/2mV^(2)=1/2kx^(2)`
`1/2momega^(2)(A^(2)-X^(2))=1/2momega^(2)x^(2)`
`A^(2)-X^(2)=X^(2), x=A/sqrt(2)`
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