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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
Weight of body = up thrust by the two liquid
if A = area of section
`(dAL)g = [rho A(L-rho L) + n rho A p L]g`
`d= rho[(1 -p)+np]`
`=rho[1+(n-1)p]`.
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