Momentum and CollisionEasy

Question

A homogeneous cylinder of length L and cross-section area A/5 is immersed such that its floats with it axis vertical at the liquid - liquid interface with length L/4 in the denser liquid as shown in the figure. The lower density is open to atmosphere having pressure p0. Then, density D of the solid is given by
      

Options

A.
B.
C.4 d
D.

Solution

        
Considering verical equilibrium of cylinder
Weight of cylinder = Upthrust due to uper liquid + upthrust due to lower liquid
∴ (A/5)(L)Dg = (A/5)(3L/4)(d)g + (A/5)(L/4)(2d)(g)
∴     
D = d.

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