A large cylindrical tank of cross-sectional area $1\ m^2 $ is filled with water. It has a small hole at a height of $1\ m $ from the bottom. $A$ movable piston of mass $5$ $kg$ is fitted on the top of the tank such that it can slide in the tank freely without friction. A load of $45$ $kg$ is applied on the top of water by piston, as shown in figure. The value of $v$ when piston is $7$ $m$ above the bottom is $(g = 10\ m/s^2)$ ....... $m/s$
$\sqrt {120} $
$10$
$1 $
$11 $
An $L-$ shaped glass tube is just immersed in flowing water towards tube as shown. If speed of water current is $V,$ then the height $h$ upto which water rises will be
Figures below show water flowing through a horizontal pipe from left to right. Note that the pipe in the middle is narrower. Choose the most appropriate depiction of water levels in the vertical pipes.
Water is flowing steadily through a horizontal tube of non uniform cross-section. If the pressure of water is $4$ $\times $ $10^4$ $N/m^2$ at a point where cross-section is $0.02$ $m^2$ and velocity of flow is $2$ $m/s$, what is pressure at a point where cross-section reduces to $0.01$ $m^2$.
Water flows in a horizontal tube (see figure). The pressure of water changes by $700\; \mathrm{Nm}^{-2}$ between $\mathrm{A}$ and $\mathrm{B}$ where the area of cross section are $40\; \mathrm{cm}^{2}$ and $20\; \mathrm{cm}^{2},$ respectively. Find the rate of flow of water through the tube. ........ $\mathrm{cm}^{3} / \mathrm{s}$
(density of water $=1000\; \mathrm{kgm}^{-3}$ )
Water is flowing through a horizontal tube according to the figure. Its diameter at two points are $0.3\,m$ and $0.1\,m$ respectively. Pressure difference between these two points is equal to $0.8\,m$ of water column. Find rate of flow of water in the tube ..... $ltr/s$