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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
  1. {1+(n1)p}ρ
  2. {1+(n+1)p}ρ
  3. {2+(n+1)p}ρ
  4. {2+(n1)p}ρ

A
{2+(n1)p}ρ
B
{2+(n+1)p}ρ
C
{1+(n1)p}ρ
D
{1+(n+1)p}ρ
Solution
Verified by Toppr

Using Archimedes' principle, we get:

LAdg=(pL)A(nρ)g+(1p)LAρg

d=(1p)ρ+(pn)ρ

=[1+(n1)p]ρ

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