There is an air bubble of radius $1.0\,mm$ in a liquid of surface tension $0.075\,Nm ^{-1}$ and density $1000\,kg$ $m ^{-3}$ at a depth of $10\,cm$ below the free surface. The amount by which the pressure inside the bubble is greater than the atmospheric pressure is $....Pa \left( g =10\,ms ^{-2}\right)$

Consider the following two statement $A$ and $B$, and identify the correct choice in the given answers

$A :$ The excess pressure inside a small liquid drop is more than that of a big drop.

$B :$ As the aeroplane moves fast on the runway the pressure is more on the upper surface of its wings and less on the bottom surface of the wings.

A capillary tube of radius $r$ is dipped in a liquid of density $\rho$ and surface tension $S$. If the angle of contact is $\theta$, the pressure difference between the two surfaces in the beaker and the capillary

A $U-$ tube with limbs of diameters $5\, mm$ and $2\, mm$ contains water of surface  tension $7 \times 10^{-2}$ newton per metre, angle of contact is zero and density $10^3\, kg/m^3$. If $g$ is $10 \,m/s^2$, then the difference in level of two limbs is :-

The excess pressure in a soap bubble is double that in other one. The ratio of their volume is .............

An air bubble of radius $r$ in water is at depth $h$ below the water surface at same instant. If $P$ is atmospheric pressure and $d$ and $T$ are the density and surface tension of water respectively. The pressure inside the bubble will be