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The matallic bob of a simple pendulum ha...

The matallic bob of a simple pendulum has the relative density `rho`. The time period of this pendulum is `T` it the metallic bob is immersed in water the new time period is given by

A

`T(p-1)/(p)`

B

`T(p)/(p-1)`

C

`Tsqrt((p-1)/(p)`

D

`Tsqrt((p)/(p-1)`

Text Solution

Verified by Experts

When the bob is immersed in water its effective
weight `=(mg-(m)/(p)g)=mg((p-1)/(p))`
`:.g_(eff)=g((p-1)/(p)),(T')/(T)=sqrt((g)/(g_(eff))`
`rArrT'=Tsqrt((p)/(p-1))`
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