Q. On which of the following, the terminal velocity of a solid ball in a viscous fluid is independent?
A) Area of cross-section
B) Height of the liquid
C) Density of the ball
D) Density of the liquid
Explanation
(b) Terminal velocity
$v_{T} = \frac{2}{9}\frac{r^{2}(\rho - \sigma)}{ɳ}$
where $\rho = density\ of\ the\ ball$
$\sigma = density\ of\ liquid$
$r = radius\ of\ ball$
From this formula it is clear that terminal velocity is independent of height of liquid. $\ $
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.