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For any S.H.M., amplitude is 6 cm . If i...

For any S.H.M., amplitude is 6 cm . If instantaneous potential energy is half the total energy then distance of particle from its mean position is

A

3 cm

B

4.2 cm

C

5.8 cm

D

6 cm

Text Solution

Verified by Experts

The correct Answer is:
B
(b) If at any instant displacement is y, then it is given that
`U=(1)/(2)xxE`
`implies(1)/(2)momega^(2)y^(2)=(1)/(2)xx((1)/(2)momega^(2)A^(2))`
`implies y=(A)/(sqrt(2))=(6)/(sqrt(2))=4.2 cm`
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