A sphere of mass M and radius R is falling in a viscous fluid. The terminal velocity attained by the falling object will be proportional to :

R^{2}

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R

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1 / R

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1 / R^{2}

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Solution

The correct option is A $R^{2}$
For a falling body in viscous fluid terminal velocity is related to radius as
follows.
$V_{T} = \frac{2}{9 η} R^{2} (ρ - σ) g$
$V_{T} \propto R^{2}$

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A sphere of mass M and radius R is falling in a viscous fluid. The terminal velocity attained by the falling object will be proportional to :

The correct option is A R2For a falling body in viscous fluid terminal velocity is related to radius asfollows.VT=29ηR2(ρ−σ)gVT∝R2

The correct option is A $R^{2}$
For a falling body in viscous fluid terminal velocity is related to radius as
follows.
$V_{T} = \frac{2}{9 η} R^{2} (ρ - σ) g$
$V_{T} \propto R^{2}$