A body of density 1.2 $$\times$$ 10³ kg/m³ is dropped from rest from a height 1 m into a liquid to density 2.4 $$\times$$ 10³ kg/m³. Neglecting all dissipative effects, the maximum depth to which the body sinks before returning to float on the surface is

Two solid spheres S₁ and S₂ of same uniform density fall from rest under gravity in a viscous medium and after sometime, reach terminal velocities v₁ and v₂, respectively. If ratio of masses $${{{m_1}} \over {{m_2}}} = 8$$, then $${{{v_1}} \over {{v_2}}}$$ will be equal to

Under isothermal conditions, two soap bubbles of radii a and b coalesce to form a single bubble of radius c. If the external pressure is p, then surface tension of the bubbles is