Spherical balls of radius R  are falling in a viscous fluid of viscosity \eta  with a velocity \nu  . The retarding viscous force acting on the spherical ball is

  • Option 1)

    directly proportional to R but inversely proportional to  \nu

  • Option 2)

    directly proportional to both radius R and \nu

  • Option 3)

    inversely proportional to both radius R and  velocity  \nu

  • Option 4)

    inversely proportional to R but directly proportional to velocity \nu

 

Answers (1)

As we learnt in

Viscous force -

F= 6\pi \eta rv
 

- wherein

\eta- coefficient\: viscosity

r-radius

v-velocity

 

 From Stoke's law 

F=6\pi \eta rv

F\alpha r

F\alpha\ v

Correct option is 2.


Option 1)

directly proportional to R but inversely proportional to  \nu

This is an incorrect option.

Option 2)

directly proportional to both radius R and \nu

This is the correct option.

Option 3)

inversely proportional to both radius R and  velocity  \nu

This is an incorrect option.

Option 4)

inversely proportional to R but directly proportional to velocity \nu

This is an incorrect option.

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