Two $$non-mixing$$ liquids of densities ρ and nρ (n$$$$1) are put in a container. The height of each liquid is h. A solid cylinder of length L and density d is put in this container. The cylinder floats with its axis vertical and length pL $$($$ 𝑝

Question

Two $$non-mixing$$ liquids of densities ρ and nρ (n$$>$$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 pL  $$($$ 𝑝<$$1$$ $$)$$ in the denser liquid. The density d is equal to

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$$d=density$$ of cylinder $$A=area$$ of $$cross-section$$ of cylinder using law of floatation,Using law of floatation, Weight of cylinder $$=$$ Upthrust by two liquidsL×A×d×$$g=n$$ρ×(pL$$×$$A)g+$$ρ$$(L-pL)Agd=np$$ρ$$+$$ρ$$(1-p)=(np+1-p)ρ$$d={1+(n-1)p}$$ρ

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Two non-mixing liquids of densities ρ and nρ (n>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 pL ( 𝑝<1 ) in the denser liquid. The density d is equal to

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