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Two non-mixing liquids of densities rho ...

Two non-mixing liquids of densities `rho` and `(n gt1)` are put in a container. The height of each liquid is `h`. A solid cylinder of length `L` and density `d` is put in this container. The cylinder floats with its axis vertical and length `pL(p lt 1)` in the denser liquid. The density `d` is equal to :

A

`{1+(n+1) p} rho`

B

`{2 + (n+1) p} rho`

C

`{2+ (n-1) p} rho`

D

`{1+ (n-1) p} rho`

Text Solution

Verified by Experts

The correct Answer is:
D

For equilibrium `U_(1) + U_(2)= mg`
`AL(1- p]g xx rho + ApL n rho g = rho_(b) ALg`
`AL g rho [1- p+ np] = rho_(b) ALg`
`d= rho_(b)= p[1 + (n-1)p]`
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