NEET2016PhysicsMechanical Properties of FluidsActual
Two non-mixing liquids of densities ρ and n ρ 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 p L p < 1 in the denser liquid. The density d is equal to:
Options
- A1 + n + 1 p ρ
- B2 + n + 1 p ρ
- C2 + n - 1 p ρ
- D1 + n - 1 p ρ
Correct answer
D. 1 + n - 1 p ρ
Step-by-step solution
f 0 = m g ρ A 1 - p L g + n ρ A p L g = d A L g ρ 1 - p + n ρ p = d 1 - p + n p ρ = d 1 + n - 1 p ρ = d