jee-main 2020 Q5

jee-main · India · session2_05sep_shift2 Not Maths
In an experiment to verify Stokes law, a small spherical ball of radius $r$ and density $\rho$ falls under gravity through a distance $h$ in air before entering a tank of water. If the terminal velocity of the ball inside water is same as its velocity just before entering the water surface, then the value of $h$ is proportional to: (ignore viscosity of air)
(1) $r^4$
(2) $r$
(3) $r^3$
(4) $r^2$
In an experiment to verify Stokes law, a small spherical ball of radius $r$ and density $\rho$ falls under gravity through a distance $h$ in air before entering a tank of water. If the terminal velocity of the ball inside water is same as its velocity just before entering the water surface, then the value of $h$ is proportional to: (ignore viscosity of air)\\
(1) $r^4$\\
(2) $r$\\
(3) $r^3$\\
(4) $r^2$