The graph between terminal velocity (along $y-$ axis) and square of radius (along $x-$ axis) of spherical body of density $\rho $ allowed to fall through a fluid of density $\sigma $ is a

Two drops of equal radius are falling through air with a steady velocity of $5\,cm/s$. If the two drops coalesce, then its terminal velocity will be

The excess pressure inside the first soap bubble is three times that inside the second bubble then, the ratio of volume of the first to the second bubble will be

A cylindrical vessel filled with water upto the height $H$ becomes empty in time $t_0$ due to a small hole at the bottom of the vessel. If water is filled to a height $4H$ it will flow out in time

The diagram below shows a hydraulic lift.  A force is applied at side $1$ and an output force is generated at side $2$ . Which of the following is true?

If the terminal speed of a sphere of gold (density $= 19.5 \times 10^3\, kg/m^3$) is $0.2\, m/s$ in a viscous liquid (density $= 1.5 \times 10^3\, kg/m^3$), find the terminal speed of a sphere of silver (density $= 10.5 \times 10^3\, kg/m^3$) of the same size in the same liquid ........... $m/s$