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

A cylindrical vessel of height $500 \mathrm{~mm}$ has an orifice (small hole) at its bottom. The orifice is initially closed and water is filled in it up to height $\mathrm{H}$. Now the top is completely sealed with a cap and the orifice at the bottom is opened. Some water comes out from the orifice and the water level in the vessel becomes steady with height of water column being $200 \mathrm{~mm}$. Find the fall in height (in ${m m}$ ) of water level due to opening of the orifice.

|Take atmospheric pressure $=1.0 \times 10^5 \mathrm{~N} / \mathrm{m}^2$, density of water $=1000 \mathrm{~kg} / \mathrm{m}^3$ and $g=10 \mathrm{~m} / \mathrm{s}^2$. Neglect any effect of surface tension.]

A fluid is flowing through a horizontal pipe of varying cross-section, with speed $v\;ms^{-1}$ at a point where the pressure is $P$ Pascal. At another point where pressure is $\frac{ P }{2}$ Pascal its speed is $V\;ms^{-1}$. If the density of the fluid is $\rho\, kg\, m ^{-3}$ and the flow is streamline, then $V$ is equal to

Why does a flag (or ensign) flutter when there is strong wind ? Explain.

Water is flowing continuously from a tap having an internal diameter $8 \times 10^{-3}\ m $ The water velocity as it leaves the tap is $0.4$ $ms^{-1}$ છે. The diameter of the water stream at a distance $2  \times 10^{-1}$ $m$ below the tap is close to .......$\times 10^{-3}\;m$

Obtain Bernoulli’s equation of rest fluid.