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, \[v=\]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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