A small ball of mass $m$ and density $\rho$ is dropped in a viscous liquid of density $\rho_0$. After sometime, the ball falls with constant velocity. The viscous force on the ball is:
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In a $U-$tube as shown in figure, water and oil are in the left side and right side of the tube respectively. The helghts from the bottom for water and oil columns are $15\; \mathrm{cm}$ and $20\; \mathrm{cm}$ respectively. The density of the oil is......$kg/{m}^{3}$
A long cylindrical vessel is half filled with a liquid. When the vessel is rotated about its own vertical axis, the liquid rises up near the wall. If the radius of vessel is $5\,cm$ and its rotational speed is $2$ rotations per second, then the difference in the heights between the centre and the sides, in $cm,$ will be
A vessel containing water is given a constant acceleration a towards the right, along a straight horizontal path. Which of the following diagram represents the surface of the liquid
An incompressible fluid flows steadily through a cylindrical pipe which has radius $2r$ at point $A $ and radius $r $ at $B $ further along the flow direction. If the velocity at point $A$ is $v, $ its velocity at point $B$ is
A rectangular vessel when full of water takes $10 $ minutes to be emptied through an orifice in its bottom. ......... $\min$ will it take to be emptied when half filled with water
Water coming out of a horizontal tube at a speed ? strikes normally a vertically wall close to the mouth of the tube and falls down vertically after impact. When the speed of water is increased to $2v$ .
Diagram shows a jar filled with two non mixing liquids $1$ and $2$ having densities ${\rho _1}$ and ${\rho _2}$ respectively. A solid ball, made of a material of density ${\rho _3}$ , is dropped in the jar. It comes to equilibrium in the position shown in the figure. Which of the following is true for ${\rho _1}$ , ${\rho _2}$ and ${\rho _3}$ ?
A tank is filled with water of density $1\,g$ per $cm^3$ and oil of density $0.9\,g$ per $cm^3$ . The height of water layer is $100\,cm$ and of the oil layer is $400\,cm.$ If $g = 980\,cm/sec^2,$ then the velocity of efflux from an opening in the bottom of the tank is
When a large bubble rises from the bottom of a lake to the surface. Its radius doubles. If atmospheric pressure is equal to that of column of water height $H$, then the depth of lake is