Ncert Exercises & Solutions

A tall cylinder is filled with viscous oil. A round pebble is dropped from the top with zero initial velocity. From the plot shown in the figure, indicate the one that represents the velocity \((v)\) of the pebble as a function of time \((t).\)

1.		2.
3.		4.

Step 1: Find the variation of velocity with time t.

When the pebble is falling through the viscous oil the viscous force is

F = 6 πηrv

where r is the radius of the pebble, v is instantaneous speed,

η

is coefficient of viscosity. As the force is variable, hence acceleration is also variable so the v-t graph will not be a straight line. First, the velocity increases and then becomes constant known as terminal velocity.

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