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A particle is vibrating in a simple h...

A particle is vibrating in a simple harmonic motion with an amplitude of 4 cm . At what displacement from the equilibrium position, is its energy half potential and half kinetic

A

1 cm

B

`sqrt2` cm

C

3 cm

D

`2sqrt2` cm

Text Solution

Verified by Experts

The correct Answer is:
D
When KE=PE
`implies (1)/(2)momega^(2)(A^(2)-x^(2))=(1)/(2)momega^(2)x^(2)`
`implies x=(A)/(sqrt2)=(4)/(sqrt2) implies x=2 sqrt(2)cm`.
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