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Spherical balls of radius R are falling in a viscous fluid of

Question

Spherical balls of radius R are falling in a viscous fluid of velocity v. The retarding viscous force acting on the spherical ball is

directly proportional to R but inversely proportional to v.

directly proportional to both radius R and velocity v.

inversely proportional to both radius R and velocity v

inversely proportional to R but directly proportional to velocity v

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Spherical balls of radius R are falling in a viscous fluid of velocity v. The retarding viscous force acting on the spherical ball is

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Text solutionVerified

Retarding force acting on a ball falling into a viscous fluid

F = 6 π η R v

Where

R =

Radius of ball

v =

velocity of ball

η =

coefficient of viscosity

∴ F \propto R

and

F \propto v

or in words,

Retarding force is directly proportional to both

R

and

v

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Question Text	Spherical balls of radius R are falling in a viscous fluid of velocity v. The retarding viscous force acting on the spherical ball is
Answer Type	Text solution:1
Upvotes	151