Topic: Viscosity, Stokes' law, terminal velocity, streamline and turbulent flow, critical velocity· Properties of Solids and Liquids

A spherical ball is dropped in a long column of a highly viscous liquid. The curve in the graph shown, which represents the speed of the ball (v) as a function of time (t) is :

A spherical ball is dropped in a long column of a highly viscous liquid. The curve in the graph shown, which represents the speed of the ball (\(v\)) as a function of time (t) is :

v-t graph with four curves A, B, C, D

1. D

2. A

3. B

4. C

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Answer: 3. B

A ball dropped in a viscous liquid starts with acceleration \(g\). As speed grows, viscous drag rises, so the acceleration falls to zero and the speed reaches a constant terminal value.

So the \(v\)-\(t\) curve starts steeply and bends to become horizontal. That is curve B. A is a straight line (constant acceleration), C and D show speed decreasing.

Option (3).

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A spherical ball is dropped in a long column of a highly viscous liquid. The curve in the graph shown, which represents the speed of the ball (v) as a function of time (t) is :

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