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A horizontal platform with an object pla...

A horizontal platform with an object placed on it is executing S.H.M. in the vertical direction. The amplitude of oscillation is `3.92xx10^(-3)`m. What must be the least period of these oscillation, so that the object is not detached from the platform

A

`(pi)/(25) s`

B

`(pi)/(5) s`

C

`(pi)/(10) s`

D

`(pi)/(50) s`

Text Solution

Verified by Experts

The correct Answer is:
A
(a)`omega^(2)A=g`
As, `omega=sqrt((g)/(A)` or `T=2pisqrt((A)/(g))`
`=2pisqrt((4 xx 10^(-3))/(10))=2pixx2xx10^(-2)impliesT=(4pi)/(100)=(pi)/(25)s`
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