Question

Consider two solid spheres P and Q each of density `8gm cm^-3` and diameters 1cm and 0.5cm, respectively. Sphere P is dropped into a liquid of density `0.8gm cm^-3` and viscosity `eta=3` poiseulles. Sphere Q is dropped into a liquid of density `1.6gmcm^-3` and viscosity `eta=2` poiseulles. The ratio of the terminal velocities of P and Q is

Answer 1

Correct Answer - C
`V_P/V_Q=((2r_1^2(sigma-rho_1)g)/(9eta_1))/((2r_2^2(sigma-rho_2)g)/(9eta_2))=(r_1^2(sigma-rho_1))/(r_2^2(sigma-rho_2))xxeta_2/eta_1`
`=(1^2)/((0.5)^2)([8-0.8])/([8-1.6])xx2/3=3`