Solveeit Logo

Question

Question: Spherical balls of radius 'r' are falling in a viscous fluid of viscosity 'η' with a velocity 'v'. T...

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 'r' but directly proportional to velocity 'v'

B

Directly proportional to both radius 'r' and velocity 'v'

C

Inversely proportional to both radius 'r' and velocity 'v'

D

Directly proportional to 'r' but inversely proportional to 'v'

Answer

Directly proportional to both radius 'r' and velocity 'v'

Explanation

Solution

F=6πηrvF = 6\pi\eta rv