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A wooden sylinder floats vertically in w...

A wooden sylinder floats vertically in water with half of its length immersed. The density of wood is:

A

equal to that of water

B

half the density of water

C

double the density of water

D

the quiestion is incomplete.

Text Solution

Verified by Experts

The correct Answer is:
B

As `f_(in)=(rho)/(sigma)`,`(1)/(2)=(rho)/(sigma)` or `rho=(sigma)/(2)`, Where `rho` is density wood and sigma is that of water.
Here, `f_m` is the fraction of the length or volume of the floating body inside the liquid. For details refer to
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