A spherical ball of radius R is falling in a viscous fluid of viscosity - with a velocity v- The retarding viscous force acting on the spherical ball is-A- directly proportional to R but inversely proportional to VB- directly proportional to both radius R and velocity VC- inversely proportional to R but directly proportional to velocity VD- inversely proportional to both radius R and velocity V

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Terminal Velocity

A spherical b...

Question

A spherical ball of radius $R$ is falling in a viscous fluid of viscosity $η$ with a velocity $v$ . The retarding viscous force acting on the spherical ball is:

directly proportional to

R

but inversely proportional to

v

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directly proportional to both radius

R

and velocity

v

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inversely proportional to both radius

R

and velocity

v

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inversely proportional to

R

but directly proportional to velocity

v

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Solution

The correct option is B directly proportional to both radius $R$ and velocity $v$
According to Stoke's law,
The retarding viscous force $F_{D} = 6 π η R v$
$∴ F_{D}$ is directly proportional to radius and velocity.

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Terminal Velocity

Standard XII Physics

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A spherical ball of radius R is falling in a viscous fluid of viscosity η with a velocity v. The retarding viscous force acting on the spherical ball is:

The correct option is B directly proportional to both radius R and velocity vAccording to Stoke's law, The retarding viscous force FD=6πηRv ∴FD is directly proportional to radius and velocity.

A spherical ball of radius $R$ is falling in a viscous fluid of viscosity $η$ with a velocity $v$ . The retarding viscous force acting on the spherical ball is:

The correct option is B directly proportional to both radius $R$ and velocity $v$
According to Stoke's law,
The retarding viscous force $F_{D} = 6 π η R v$
$∴ F_{D}$ is directly proportional to radius and velocity.