During constant temperature, we feel colder on a day when the relative humidity is ....... $\%$

$A$ cylinder of radius $4 \ cm$ and height $10 \ cm$ is immersed in two liquids as shown. Specific gravity of oil is $0.5$. $2 \ cm$ of the cylinder is in the air. Select the $INCORRECT$ statement. Neglect atmospheric pressure.

When an air bubble of radius $r$ rises from the bottom to the surface of a lake,its radius becomes $\frac{5r}{4}$. Taking the atmospheric pressure to be equal to $10 \ m$ height of water column,the depth of the lake would approximately be ....... $m$ (ignore the surface tension and the effect of temperature).

$A$ bottle of soda water is grasped by the neck and swung briskly in a vertical circle. Near which portion of the bottle do the bubbles collect?

When an air bubble of radius $r$ rises from the bottom to the surface of a lake,its radius becomes $5r/4$ (the pressure of the atmosphere is equal to the $10 \, m$ height of water column). If the temperature is constant and the surface tension is neglected,the depth of the lake is .... $m$ (in $.53$)

$STATEMENT-1$: The stream of water flowing at high speed from a garden hose pipe tends to spread like a fountain when held vertically up,but tends to narrow down when held vertically down.
$STATEMENT-2$: In any steady flow of an incompressible fluid,the volume flow rate of the fluid remains constant.