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Q. The terminal velocity of spherical ball of radius a falling through a viscous liquid a proportional to

Chhattisgarh PMTChhattisgarh PMT 2009

Solution:

If a spherical body of radius a is dropped in a viscous fluid, it is first accelerated and then its acceleration becomes zero and it attains a constant velocity called terminal velocity.
Terminal velocity, $v=\frac{2}{9} \frac{a^{2}(\rho-\sigma) g}{\eta}$
where $p$ is the density of the body, $O$ is the density of fluid and $\eta$ is coefficient of viscosity.