There are two identical small holes of area of cross-section a on the opposite sides of a tank containing a liquid of density $\rho$. The difference in height between the holes is $h$. Tank is resting on a smooth horizontal surface. Horizontal force which will have to be applied on the tank to keep it in equilibrium is
$g\, h\, \rho a$
$\frac{2gh}{\rho a}$
$2g\, h\, \rho a$
$\frac{\rho gh}{a}$
An empty glass jar is submerged in tank of water with open mouth of the jar downwards, so that air inside the jar is trapped and cannot get out. As the jar is pushed down slowly, the magnitude of net buoyant force on the system of volume of gas trapped in the jar and the jar
A person is sitting in a boat floating in a lake. This person fills a bucket of water from lake and puts in the boat, then will the water level go down in the lake ? Explain.
A piece of gold weighs $10 \,g$ in air and $9 \,g$ in water. What is the volume of cavity is ...... $cc$ (Density of gold $=19.3 \,g cm ^{-3}$ )
A sphere of solid material of relative density $9$ has a concentric spherical cavity and floats having just sinked in water. If the radius of the sphere be $R$, then the radius of the cavity $(r)$ will be related to $R$ as :-
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 ................ $g$