Fundamentholfundamenthol
NEET2022Physics
Q.

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 :

  1. A

    B

  2. B

    C

  3. C

    D

  4. D

    A

Solution

When released from rest, the ball begins at and accelerates downward.

Viscous drag grows with speed and eventually balances gravity (minus buoyancy), at which point the net force vanishes and the ball moves at constant terminal velocity.

So the speed starts at zero, rises with a decreasing slope, and asymptotically approaches a constant. The slope of the vs curve (acceleration) is largest initially and falls to zero.

Curve B captures this behaviour.

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