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Question: Answered & Verified by Expert
Two non-mixing liquids of densities ρ and nρn>1 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 pLp<1 in the denser liquid. The density d is equal to:
PhysicsMechanical Properties of FluidsJEE Main
Options:
  • A 1+n+1pρ
  • B 2+n+1pρ
  • C 2+n-1pρ
  • D 1+n-1pρ
Solution:
1437 Upvotes Verified Answer
The correct answer is: 1+n-1pρ


f0=mg

ρA1-pLg+nρApLg=dALg

ρ1-p+nρp=d

1-p+npρ=d

1+n-1pρ=d

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