A block of density $\mathrm{\rho }$ floats in a liquid with its one third volume immersed. The density of the liquid is

When at rest a liquid stands at the same level in the tubes shown in figure. But as indicated a height difference $h$ occurs when the system is given an acceleration a towards the right. Here $h$ is equal to

A ball floats on the surface of water in a container exposed to the atmosphere. Volume $V_1$ of its volume in inside the water. If the container is now covered and the air is pumped out. Now let $V_2$ be the volume immersed in water, then

(Density of air ${\rho }_a=1.204 \mathrm{kg} {\mathrm{m}}^{-3}$)