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In the figure shown, the heavy cylinder ...

In the figure shown, the heavy cylinder (radius R) reasting on a smooth surface separates two liquids of densities `2rho` and `3rho`. The height h for the equilibrium of cylinder must be

A

`(3R)/2`

B

`Rsqrt(3/2)`

C

`Rsqrt(2)`

D

`Rsqrt(3/4)`

Text Solution

Verified by Experts

The correct Answer is:
B

`rhogyds costhetadA`
`intrhogydA`
`=rhogintdA`
`F_(1)=2rgh/2xxhxxl`
`F_(2)=3rhogR/2xxRxxl`
forequilibrium
`2rhogh/2hl = 3rhogR/2Rl`
`h^(2)=3R^(2)/2`
`h=Rsqrt(3/2)`
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