$A$ scent sprayer is based on

The pressure of water in a water pipe when the tap is closed and opened is $3.5 \times 10^5 \, N/m^2$ and $3 \times 10^5 \, N/m^2$ respectively. With the tap open,the velocity of water flowing is ........... $m/s$. (Take density of water $\rho = 10^3 \, kg/m^3$)

$A$ horizontal pipeline carries water in a stream-line flow. At a point along the pipe, where the cross-sectional area is $10 \,cm^2$, the velocity of water is $1 \,m/s$ and the pressure is $2000 \,Pa$. The pressure of water at another point where the cross-sectional area is $5 \,cm^2$ is (Given: density of water $\rho = 1000 \,kg/m^3$) (in $\,Pa$)

In the diagram shown,the difference in the height of the liquid columns in the two tubes of the manometer is $5\, cm$. The cross-sectional areas of the tube at $A$ and $B$ are $6\, mm^2$ and $10\, mm^2$ respectively. The rate at which water flows through the tube is ........ $cc/s$ $(g = 10\, m/s^2)$.

In a horizontal tube, the water pressure changes by $1500 \text{ N m}^{-2}$ between points $A$ and $B$ as shown in the figure below. The cross-sectional areas at $A$ and $B$ of the tube are $40 \text{ cm}^2$ and $20 \text{ cm}^2$, respectively. Find the rate of flow of water through the tube.

$A$ sniper fires a rifle bullet into a gasoline tank,making a hole $53.0 \ m$ below the surface of the gasoline. The tank was sealed at $3.10 \ atm$. The stored gasoline has a density of $660 \ kg \ m^{-3}$. The velocity with which gasoline begins to shoot out of the hole is ........ $m \ s^{-1}$.