A) directly proportional to R but inversely proportional to v
B) directly proportional to both radius R and velocity v
C) inversely proportional to both radius R and velocity v
D) inversely proportional to R but directly proportional to velocity \[v\]
Correct Answer: B
Solution :
Retarding force acting on a ball falling into a viscous fluid \[F=6\pi \eta Rv\] where \[R=\]radius of ball, \[v\text{ }=\] velocity of ball, and \[\eta =\]coefficient of viscosity. \[\therefore \] \[F\propto R\]and \[F\propto v\] Or in words, retarding force is directly proportional to both R and \[v.\]
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