The terminal velocity of a sphere moving through a viscous medium is

directly proportional to the radius of the sphere

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inversely proportional to the radius of the sphere

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directly proportional to the square of the radius of sphere

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inversely proportional to the square of the radius of sphere

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Solution

The correct option is C directly proportional to the square of the radius of sphere
Terminal Velocity $= \frac{2}{9} \frac{r^{2} g (d_{1} - d_{2})}{η}$ (1)
where $r =$ radius of sphere
$η =$ viscosity of medium
$d_{1} =$ density of sphere
$d_{2} =$ density of medium
From (1) terminal velocity is directly proportional to square of radius.
Hence the correct option is (C).

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