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.
Both $A$ and $B$ are true
$A$ is true but $B$ is false
$A$ is false but $B$ is true
Both $A$ and $B$ are false
A bubble of $8$ mm diameter is formed in the air. The surface tension of soap solution is $30$ dynes/cm. The excess pressure inside the bubble is ........ $dynes/cm^2$
Pressure inside two soap bubbles are $1.01$ and $1.02$ atmosphere, respectively. The ratio of their volumes is
A long cylindrical glass vessel has a small hole of radius $'r'$ at its bottom. The depth to which the vessel can be lowered vertically in the deep water bath (surface tension $T$) without any water entering inside is
A soap bubble of radius $3\, {cm}$ is formed inside the another soap bubble of radius $6\, {cm}$. The radius of an equivalent soap bubble which has the same excess pressure as inside the smaller bubble with respect to the atmospheric pressure is .......... ${cm}$
Fill in the Blank :
$(i)$ Bubble in water have .......... free surface.
$(ii)$ Bubble in air have .......... free surface.
$(iii)$ Rain drop have .......... free surface.