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Spherical balls of radius ’R’ are falling in a viscous fluid of viscosity ‘η’ with a velocity ‘v’. The retarding viscous force acting on the spherical ball is (a) inversely proportional to both radius ’R’ and velocity ‘v’ (b) directly proportional to both radius ‘R’ and velocity ‘v’ (c) directly proportional to ‘R’ but inversely proportional to ‘v’ (d) inversely proportional to ‘R’ but directly proportional to velocity ‘v’

Spherical balls of radius ’R’ are falling in a viscous fluid of viscosity ‘η’ with a velocity ‘v’. The retarding viscous force acting on the spherical ball is
(a) inversely proportional to both radius ’R’ and velocity ‘v’
(b) directly proportional to both radius ‘R’ and velocity ‘v’
(c) directly proportional to ‘R’ but inversely proportional to ‘v’
(d) inversely proportional to ‘R’ but directly proportional to velocity ‘v’

Grade:upto college level

1 Answers

Navjyot Kalra
askIITians Faculty 654 Points
9 years ago
(b) From Stoke’ s law,
Viscous force F = 6πη𝓇v
Hence F is directly proportional to radius & velocity.

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