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A particle is executing SHM of periodic ...

A particle is executing SHM of periodic time T the time taken by a particle in moving from mean position to half the maximum displacement is `(sin 30^(@)=0.5)`

A

`(T)/(2)s`

B

`(T)/(4)s`

C

`(T)/(6)s`

D

`(T)/(12)s`

Text Solution

Verified by Experts

The correct Answer is:
D

`x=Asinomegat therefore (A)/(2)=Asinomegat`
`omegat=sin^(-1)((1)/(2)) therefore (2pi)/(T)t=(pi)/(6)therefore t=(T)/(12)s`
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