A cubical block of steel of each side equal to $l$ is floating on mercury in a vessel. The densities of steel and mercury ar $\rho _s$ and $\rho _m$ . The height of the block above the mercury level is given by
$l\left( {1 + \frac{{{\rho _s}}}{{{\rho _m}}}} \right)$
$l\left( {1 - \frac{{{\rho _s}}}{{{\rho _m}}}} \right)$
$I\left( {1 + \frac{{{\rho _m}}}{{{\rho _s}}}} \right)$
$l\left( {1 + \frac{{{\rho _m}}}{{{\rho _s}}}} \right)$
A spherical ball of radius $r$ and relative density $0.5$ is floating in equilibrium in water with half of it immersed in water. The work done in pushing the ball down so that whole of it is just immersed in water is : (where $\rho $ is the density of water)
What is buoyancy ?
A cube of edge length $10 \,cm$ is just balanced at the interface of two liquids $A$ and $B$ as shown in figure. If $A$ and $B$ has specific gravity $0.6$ and $0.4$ respectively, then mass of cube is ................ $g$
Water is pumped from a depth of $10 $ $m$ and delivered through a pipe of cross section $10^{-2}$ $m^2$. If it is needed to deliver a volume of $10^{-1} $ $m^3$ per second the power required will be ........ $kW$
A hollow sphere has inner volume half the outer volume. Its $4/5\,th$ part is submerged when placed in water. The density of material is