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A particle executing SHM has a maximum s...

A particle executing SHM has a maximum speed of `30 cm"/"s` and a maximum acceleration of `60 cm"/"s^(2)`. The period of oscillation is………..

A

`pi s`

B

`(pi)/(2)s`

C

`2pi s`

D

`(pi)/(t) s`

Text Solution

Verified by Experts

The correct Answer is:
A
Maximum speed in SHM, `v_("max")= A omega`
`therefore 30 = A omega " ""…….."(1)`
and maximum acceleration, `a_("max")= A omega^(2)`
`therefore 60 = A omega^(2)" ""…….."(2)`
Taking ratio of equation (2) and (1) `(60)/(30)= omega`
`therefore 2= (2pi)/(T)" "therefore T= pi s`.
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