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 figure, indicate the one that represents the velocity `(v)` of the pebble as a function of time `(t)`

Options

A.
B.
C.
D.

Answer

C

Explanation

When the pebble is falling through the viscous oil the viscous force is `F=6pietarv` where `r` is radius of the pebble, `v1` is instantaneous speed, `eta` is coefficient of viscosity. As the force is variable, hence acceleration is also variable so `v-t` graph will not be straight line first velocity increases and then becomes constant known as terminal velocity.