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A thin uniform cylindrical shell, closed...

A thin uniform cylindrical shell, closed at both ends, is partially filled with water. It is floating vertically in water in half-submerged state. If `rho_c` is the relative density of the material of the shell with respect to water, then the correct statement is that the shell is

A

More than half-filled if `rho_(c)`, is less than `0.5 `

B

more than half-filled `rho_(c)` is more than `1.0 c`,

C

half filled if `rho_(c)` is more than `0.5`

D

less than half-filled if `rho_(c)` is less than `0.5`

Text Solution

Verified by Experts

The correct Answer is:
D
For floation

`mg+rhoxxV_(l)xxg=V_0/2xxrhoxxg`
`V_(l)=(V_(0))/2=m/(rho)`
So `V_(l)lt(V_(0))/2`
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