The fraction of a floating object of volume ${V_0}$ and density ${d_0}$ above the surface of a liquid of density $d$  will be

A hydraulic automobile lift is designed to lift cars with a maximum mass of $3000\, kg$. The area of cross section a of piston carrying the load is $425\, cm ^{2}$. What is the maximum pressure () would smaller piston have to bear ?

A balloon of mass $m$ contains water of mass $M$ . If it is completely immersed in water, find the apparent mass of the balloon with water in it

The weight of a body in water is one third of its weight in air. The density of the body is ……. $g / cm ^3$

The area of cross-section of the wider tube shown in figure is $800$ $cm^2$. If a mass of $12$ $ kg $ is placed on the massless piston, the difference in heights $h$ in the level of water in the two tubes is  …….. $cm$