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Cylindrical piece of cork of density of base area A and height h floats in a liquid. The cork is depressed slightly and then released. Show that the cork oscillates up and down simple harmonically with a period. `T=2pisqrt((hp)/(P_(1)g))`where is the density of cork [`P_(1)`is the density of the liquid.] (Ignore damping due to viscosity of the liquid).

A

`2pi((hp)/(p_(1)g))`

B

`2pi((hp_(1))/(pg))`

C

`2pi((gp_(1))/(ph))`

D

`2pi((hp_(1))/(g))`

Text Solution

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The correct Answer is:
A
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