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

Equal mass of three liquids are kept in there identical cylindrical vessels $A, B $ $\&$ $ C$. The densities are $\rho_A$, $\rho_B$ and $\rho_C$ with $\rho_A < \rho_B < \rho_C$ . The force on base will be maximum in vessel:-

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

An engine pumps water through a hose pipe. Water passes through the pipe and leaves it with a velocity of $2\, m/s$. The mass per unit length of water in the pipe is $100\, kg/m$. ......... $W$ is the power of the engine .

The terminal velocity of a small sized spherical body of radius $r$ falling vertically in a viscous liquid is given by the proportionality

A $U-$ tube in which the cross-sectional area of the limb on the left is one quarter, the limb on the right contains mercury (density $13.6\ g/cm^3$). The level of mercury in the narrow limb is at a distance of $36\ cm$ from the upper end of the tube. What will be the rise in the level of mercury in the right limb if the left limb is filled to the top with water ....... $cm$