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The periodic time of a body executing si...

The periodic time of a body executing simple harmonic motion is 3 sec. After how much time from time `t=0` , its displacement will be half of its amplitude

A

`1/8s`

B

`1/6s`

C

`1/4s`

D

`1/3s`

Text Solution

Verified by Experts

The correct Answer is:
C

`y = a sin wt` as `y = a/2` we get `t = 1/4s` (Given T = 3s)
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Knowledge Check

  • The periodic time of a particle executing S.H.M. is12 second.After how much intervalfrom t=0 will its displacement be half of its amplitude ?

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    C
    `2pi sqrt((A)/(T))`
    D
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