A uniform rod of density $\rho $ is placed in a wide tank containing a liquid of density ${\rho _0}({\rho _0} > \rho )$. The depth of liquid in the tank is half the length of the rod. The rod is in equilibrium, with its lower end resting on the bottom of the tank. In this position the rod makes an angle $\theta $ with the horizontal

A body of density $\rho'$  is dropped from rest at a height $h$ into a lake of density $\rho$ , where $\rho > \rho '$ . Neglecting all dissipative forces, calculate the maximum depth to which the body sinks before returning to float on the surface.

Why does a ship made of iron float while a piece of iron sinks in water ?

A sample of metal weighs $210 gm$  in air, $180 gm$  in water and $120 gm$  in liquid. Then relative density $(RD) $ of

Water flows out of the hole on the side of a bucket and follows a parabolic path. If the bucket falls freely under gravity, ignoring air resistance, the water flow