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Physics Fluid Mechanics NCERT Examplar MCQ (Single Correct)

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):

A
B
C
D

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The correct answer is:
C

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

Where r is radius of the pebble, v is instantaneous speed, is coefficient of viscosity.
As the force is variable, hence acceleration is also variable. So, v-f graph will not be straight line. First velocity increases and then becomes constant known as terminal velocity.

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