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A container of a large uniform cross-sec...

A container of a large uniform cross-sectional area `A` resting on a horizontal surface holds two immiscible, non viscous and incompressible liquids of densities `d` and `2d`, each of height `H//2` as shown in figure. The lower density liquid is open to atmosphere. A homogeneous solid cylinder of length `L(L lt (H)/(2))`, cross-sectional area `A//5` is immersed such that it floats with its axis vertical of the liquid-liquid interface with length `L//4` denser liquid. Determine
(a) density `D` of the solid and
(b) the total pressure at the bottom of the container. (Atmospheric pressure `= P_0`).

.

A

`D = (3d)/(2)`

B

`D = (d)/(2)`

C

`D = (2d)/(3)`

D

`D = (5d)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
D
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