A cylindrical tank having cross sectional area A = 0.5 m 2 is filled with two liquids of…

Physics · JEE Advanced · NTA ExamsProperties of Solids and Liquids


A cylindrical tank having cross sectional area A = 0.5 m2 is filled with two liquids of density ρ1 = 900 kg m–3 and
ρ2 = 600 kg m–3, to a height h = 60 cm each as shown in the figure. A small whole having area a = 5 cm2 is made in right vertical wall at a height y = 20 cm from the bottom. A horizontal force F is applied on the tank to tank to keep it in static equilibrium. The tank is lying on a horizontal surface. Neglect mass of cylindrical tank in comparison to mass of liquids (take g = 10 ms–2).
 
A tiny sphere of mass m and density x is dropped in a tall jar of glycerine of density y. When the sphere acquires terminal velocity, the magnitude of the viscious force acting on it is
  1. mgx/y
  2. mgy/x
  3. mg (1 – y/x)
  4. mg (1 + x/y)

Answer

(C) mg (1 – y/x)

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