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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)`

B

`(T)/(4)`

C

`(T)/(8)`

D

`(T)/(12)`

Text Solution

Verified by Experts

The correct Answer is:
d
If the paritcle at t=0 s is at mean position the maximum displacement is given by
`x=A sin (2pit)/(T)`
if it takes time `t_(1)` to move from mean position to half the displacement then
`(A)/(2)=A "sin "(2pit)/(T)` or `1/2 =" sin "(2pit)/(T)`
or `"sin "(pi)/(6)=sin (2pit)/(T)`
or ` (pi)/(6)=(2pit)/(T)`
`rarr t=(T)/(12)s`
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