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
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a
directly proportional to R but inversely proportional to v
b
directly proportional to radius R and velocity v
c
inversely proportional to both radius R andvelocity v
d
inversely proportional to radius r but directly proportional to velocity v
answer is B.
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Detailed Solution
The retarding force on a ball falling into a viscous fluid is given byF=6πηRv where R= radius of the ball, v= velocity of ball , and η= coefficient of viscosity Therefore, F∝R and F∝V
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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