MHT CET Physics question

A spherical ball of radius 'R' is falling through liquid of viscosity '' with velocity 'v'. The retarding force acting on the spherical ball is [MHT-CET 2017]

(A)Directly proportional to radius R and inversely proportional to velocity 'v'
(B)Directly proportional to radius R and velocity 'v'Correct
(C)Inversely proportional to radius R' and velocity 'v'
(D)Inversely proportional to radius 'R' and directly proportional to velocity 'v'

Answer: (B)

Solution

By Stokes' law , which is directly proportional to both and ; (a), (c)

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Question ID VK-062343