A wide vessel with a small hole at the bottom is filled with two liquids. The density and heightof one liquid are $\rho_1$ and $h_1$ and that of the otherare $\rho_2$ and $h_2 \ (\rho_1 >\rho_2)$. The velocity of liquid coming out of the hole is :
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An ice block floats in a liquid whose density is less than water. A part of block is outside the liquid. When whole of ice has melted, the liquid level will
The ratio of masses of a cubical block of wood and a chunk of concrete is $\frac{3}{5}$ so that the combination just floats with entire volume submerged under water. If specific gravity of wood is $0.5$, then specific gravity of concrete will be
The height to which a cylindrical vessel be filled with a homogeneous liquid, to make the average force with which the liquid presses the side of the vessel equal to the force exerted by the liquid on the bottom of the vessel, is equal to
A bucket contains water filled upto a height $=$ $15 cm$. The bucket is tied to a rope which is passed over a frictionless light pulley and the other end of the rope is tied to a weight of mass which is half of that of the (bucket $+$ water). The water pressure above atmosphere pressure at the bottom is ....... $kPa$
A streamlined body falls through air from a height $h$ on the surface of a liquid. If $d$ and $D(D > d) $ represents the densities of the material of the body and liquid respectively, then the time after which the body will be instantaneously at rest, is
A Spherical ball of radius $1 mm$ and density $10.5 g / cc$ is dropped in glycerine of coefficient of viscosity $9.8$ poise and density $1.5 g / cc$. Viscous force on the ball when it attains constant velocity is $3696 \times 10^{-x} N$. The value of $x$ is $\text { (Given, } g =9.8 m / s ^2 \text { and } \pi=\frac{22}{7} \text { ) }$
Figure shows a three arm tube in which a liquid is filled upto levels of height $l$. It is now rotated at an angular frequency $\omega$ about an axis passing through arm $B$. The angular frequency $\omega$ at which level of liquid in arm $B$ becomes zero.
Water is flowing through a horizontal tube having cross-sectional areas of its two ends being $A$ and $A'$ such that the ratio $A/A'$ is $5$ છે.જો If the pressure difference of water between the two ends is $3 \times 10^5\, N\, m^{-2}$, the velocity of water with which it enters the tube will be ......... $m s^{-1}$ (neglect gravity effects)