Question

The pressure inside a bubble of radius ${\text{R}}$ and surface tension ${\text{S}}$ is ?

Answer 1

Hint:The pressure inside the bubble must be greater than the pressure outside in order for it to remain intact and not collapse. The force caused by the pressure difference must counteract the force caused by surface tension.

Complete answer:
The tendency of liquid surfaces to shrink to the smallest possible surface area is known as surface tension. Surface tension is what helps things that are heavier than water, i.e., denser than water, to float and slip on a water surface without being even partially submerged, such as razor blades and insects (e.g., water striders).

Surface tension is caused by the greater attraction of liquid molecules to each other (due to cohesion) than air molecules at liquid–air interfaces (due to adhesion). There are two main processes at work here. One causes the liquid to contract due to an inward force on the surface molecules. A tangential force parallel to the liquid's surface is the second.

The surface tension is the name given to this tangential force (per unit length). As a result, the liquid acts as though it were surrounded by a stretched elastic membrane.Pressure inside the bubble of radius ${\text{R}}$ and surface tension ${\text{S}}$ is $\dfrac{{{\text{4S}}}}{{\text{R}}}$, based on the principle of surface tension.

Note:Water has a higher surface tension than most other liquids due to the relatively strong attraction of water molecules to one another through a network of hydrogen bonds. The phenomenon of capillarity is influenced by surface tension.