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A homogeneous solid cylinder of length L...

A homogeneous solid cylinder of length L(LltH/2), cross-sectional area A/5 is immersed such that it floats with its axis vertical at the liquid-liquid interface with length L/4 in the denser liquid as shown in the figure. The lower density liquid is open to atmosphere having pressure `P_0`. Then density D of solid is given by

A

`(5)/(4) d`

B

`(4)/(5) d`

C

d

D

`(d)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
A
Weight of cylinder = upthrust due to upper liquid + upthrust due to lower liquid
`rArr rhos ((A)/(5) xx L xx g) = d ((A)/( 5)) xx (3)/( 4) Lg + 2d ((A)/(5)) xx (L)/( 4) g`
`rArr rho s = (5 d)/( 4)`
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