A tank is filled with water upto a height $1\,m$. A hole is made at a distance $20\, cm$ from top. Find, the horizontal distance from the base of the tank, where the water strikes the ground. ......... $cm$
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$10,000 $ small balls, each weighing $1\, gm$, strike one square cm of area per second with a velocity $100 \,m/s$ in a normal direction and rebound with the same velocity. The value of pressure on the surface will be
A bottle has a thin nozzle on top. It is filled with water, held horizontally at a height of $1 \,m$ and squeesed slowly by hands, so that the water jet coming out of the nozzle hits the ground at a distance of $2 \,m$. If the area over which the hands squeese it is $10 \,cm ^{2}$, the force applied by hand is close to .......... $N$ (take, $g=10 \,m / s ^{2}$ and density of water $=1000 \,kg / m ^{3}$ )
The cross sectional area of a horizontal tube increases along its length linearly, as we move in the direction of flow. The variation of pressure, as we move along its length in the direction of flow ($x-$ direction), is best depicted by which of the following graphs
A cubical block of wood of specific gravity $0.5$ and a chunk of concrete of specific gravity $2.5$ are fastened together. The ratio of the mass of wood to the mass of concrete which makes the combination to float with its entire volume submerged under water is
Glycerine of density $1.25 \times 10^3\,kg\,m ^{-3}$ is flowing through the conical section of pipe. The area of cross-section of the pipe at its ends is $10\,cm ^2$ and $5\,cm ^2$ and pressure drop across its length is $3\,Nm ^{-2}$. The rate of flow of glycerine through the pipe is $x \times 10^{-5} m ^3 s ^{-1}$. The value of $x$ is $..............$.
A large tank filled with water to a height ‘h’ is to be emptied through a small hole at the bottom. The ratio of time taken for the level of water to fall from $ h$ to $\frac{h}{2}$ and from $\frac{h}{2}$ to zero is
Pressure at the bottom of a tank of water is $3P$, where $P$ is atmospheric pressure. If water is drawn out till the level of water is lowered by one fifth, then the pressure at the bottom of the tank is