$A$ horizontal tube of non-uniform cross-section has radii of $0.2\,m$ and $0.1\,m$ at points $P$ and $Q$ respectively. For the streamline flow of an incompressible liquid,the rate of liquid flow is:

In a streamline flow,

In the given figure,the velocity of the fluid $v = $ . . . . . . $m/s$.

The surface of water in a water tank of cross-sectional area $750 \,cm^2$ on the top of a house is '$h$' $m$ above the tap level. The speed of water coming out through the tap of cross-sectional area $500 \,mm^2$ is $30 \,cm/s$. At that instant, $\frac{dh}{dt}$ is $x \times 10^{-3} \,m/s$. The value of '$x$' will be:

In a streamlined flow,the velocity of a fluid at a given point

Water falls from a tap,down the streamline.