A small wooden ball of density $ \rho$ is immersed in water of density $\sigma $ to depth $h $ and then released. The height $H$ above the surface of water up to which the ball will jump out of water is
$\frac{{\sigma h}}{\rho }$
$\left( {\frac{\sigma }{\rho } - 1} \right)\,h$
$h$
zero
If $W$ be the weight of a body of density $\rho $ in vacuum then its apparent weight in air of density $\sigma $ is
A rectangular block is $5 cm × 5 cm × 10cm$ in size. The block is floating in water with $ 5 cm $ side vertical. If it floats with $10 cm $ side vertical, what change will occur in the level of water?
A vertical triangular plate $ABC$ is placed inside water with side $BC$ parallel to water surface as shown. The force on one surface of plate by water is (density of water is $\rho $ and atmospheric pressure $P_0$ )
A solid sphere of radius $r$ is floating at the interface of two immiscible liquids of densities $\rho_1$ and $\rho_2\,\, (\rho_2 > \rho_1),$ half of its volume lying in each. The height of the upper liquid column from the interface of the two liquids is $h.$ The force exerted on the sphere by the upper liquid is $($ atmospheric pressure $= p_0\,\,\&$ acceleration due to gravity is $g) $
A body having volume $V$ and density $\rho$ is attached to the bottom of a container as shown. Density of the liquid is $d( > \rho )$. Container has a constant upward acceleration $a.$ Tension in the string is