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A cylindrical piece of cork of density o...

A cylindrical piece of cork of density of base area A and height h floats in a liquid of density r l. The cork is depressed slightly and then released. Show that the cork oscillates up and down simple harmonically with a period
`T = 2pi sqrt((h rho)/(rho_(1)g)` where `rho` is the density of cork. (Ignore damping due to viscosity of the liquid).

A

`2pisqrt((hrho)/(rho_(1)g))`

B

`2pisqrt((hrho_(1))/(rhog))`

C

`2pisqrt((grho_(1))/(rhoh))`

D

`2pisqrt((hrho_(1))/g)`

Text Solution

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The correct Answer is:
A
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