A $20 \,cm$ long tube is closed at one end. It is held vertically, and its open end is dipped in water until only half of it is outside the water surface. Consequently, water rises in it by height $h$ as shown in the figure. The value of $h$ is closest to .............. $\,m / s$ (assume that the temperature remains constant, $P _{\text {armosphere }}=10^5 \,N / m ^2$, density. of water $=10^3 \,kg / m ^3$, and acceleration due to gravity $g =10 \,m / s ^2$ )

The atmospheric pressure at a place is $10^5 \,Pa$. If tribromomethane (specific gravity $=2.9$ ) be employed as the barometric liquid, the barometric height is .......... $m$

Explain that how does an open ended tube manometer measure pressure.

There is a circular tube in a vertical plane. Two liquids which do not mix and of densities $d_1$ and $d_2$ are filled in the tube. Each liquid subtends $90^o$ angle at centre. Radius joining their interface makes an angle $\alpha$ with vertical. Ratio $\frac{{{d_1}}}{{{d_2}}}$ is

If solid will break under pressure greater than $13\  atm$ and that solid has a specific gravity of $4$ , what is the maximum height of a cylinder made from the solid that can be built at the earth's surface ? (Note: $1\ atm$ = $10^5\  Pa$ .) ......... $m$

A barometer kept in an elevator accelerating upwards with acceleration $\mathrm{a}$. Find most likely pressure inside the elevator.