A manometer connected to a closed tap reads $4.5 \times {10^5}$ pascal. When the tap is opened the reading of the manometer falls to $4 \times {10^5}$ pascal. Then the velocity of flow of water is ........ $m{s^{ - 1}}$
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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 water barrel stands on a table of height $h$. If a small hole is punched in the side of the barrel at its base, it is found that the resultant stream of water strikes the ground at a horizonatal distance $R$ from the barrel. The depth of water in the barrel is
Water is filled in a tank upto $3 \,m$ height. The base of the tank is at height $1 \,m$ above the ground. What should be the height of a hole made in it, so that water can be sprayed upto maximum horizontal distance on ground?
A tank $5\, m$ high is half-filled with water and then is filled to the top with oil of density $0.85\, g/cm^3$. The pressure at the bottom of the tank, due to these liquids is ....... $g\, dyne/cm^2$
Three capillaries of length $L, \frac{L}{2}$ and $\frac{L}{3}$ are connected in series. Their radii are $r, \frac{r}{2}$ and $\frac{r}{3}$ respectively. Then if stream-line flow is to be maintained and the pressure across the first capillary is $P$, then ............
$Assertion :$ The velocity of flow of a liquid is smaller when pressure is larger and vice-versa.
$Reason :$ According to Bernoulli’s theorem, for the stream line flow of an ideal liquid, the total energy per unit mass remains constant.
Apiece of steel has a weight $W$ in air, $W_1$ when completely immersed in water and $W_2$ when completely immersed in an unknown liquid. The relative density (specific gravity)of liquid is