The velocity of a small ball of mass $\mathrm{M}$ and density $d,$ when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is $\frac{\mathrm{d}}{2}$, then the viscous force acting on the ball will be :
$\frac{\mathrm{Mg}}{2}$
$\mathrm{Mg}$
$\frac{3}{2} \mathrm{Mg}$
$2 \mathrm{Mg}$
From amongst the following curves, which one shows the variation of the velocity v with time t for a small sized spherical body falling vertically in a long column of a viscous liquid
Which of the following option correctly describes the variation of the speed $v$ and acceleration $'a'$ of a point mass falling vertically in a viscous medium that applies a force $F = -kv,$ where $'k'$ is a constant, on the body? (Graphs are schematic and not drawn to scale)
On which factors terminal velocity depends ? Explain.
An air bubble of diameter $6\,mm$ rises steadily through a solution of density $1750\,kg / m ^3$ at the rate of $0.35\,cm / s$. The co-efficient of viscosity of the solution (neglect density of air) is $..........\,Pas$ (given, $g =10\,ms ^{-2}$)
The terminal velocity of a small sphere of radius $a$ in a viscous liquid is proportional to