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Two non -mixing liquids of densities rho...

Two non -mixing liquids of densities `rho` and np `(ngt1)` are put in 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(Plt1)` in the denser liquid .The density d is equal to .......

A

`[2+(n+1)P]rho`

B

`[2+(n-1)P]rho`

C

`[1+(n-1)P]rho`

D

`[1+(n+1)P]rho`

Text Solution

Verified by Experts

The correct Answer is:
c
Weight of cylinder `=Th_(1)+Th_(2)`
`Aldg=(1-P)ALrhog+(PLA)nrhog`
`therefored=(1-P)rho+Pnrho`
`=rho-Prho+nPrho`
`=rho[1-Prho(1-n)]`
`=[1+(n-1)P]rho`
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