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A rectangular block of mass m and area ...

A rectangular block of mass m and area of cross-section A floats in a liquid of density `rho`. If it is given a small vertical displacement from equilibrium it undergoes oscillation with a time period T. Then :

A

`T prop (1)/(sqrt(m))`

B

`T prop sqrt(rho)`

C

`T prop (1)/(A)`

D

`T prop(1)/(rho)`.

Text Solution

Verified by Experts

The correct Answer is:
C

Time period of floating cylinder is `T=2pi sqrt((m)/(A rho g))`
`implies" "T prop (1)/(sqrt(A))`
Correct choice is ( c ).
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