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If a small sphere is let fall vertically in a large quantity of a still liquid of density smaller than that of the material of the sphere :

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at first its velocity increases, but soon approaches a constant value

it falls with constant velocity all along from the very beginning

at first it falls with a constant velocity which after some time goes on decreasing

nothing can be said about its motion

answer is A.

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Detailed Solution

When viscous force is less it moves down with acceleration as viscous force increases with velocity acceleration decreases and gradually it becomes zero and velocity attains a constant value known as terminal velocity.

$v_{t} = \frac{2 R^{2} (ρ - σ) g}{9 η}$

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