Test based on Mechanical Properties of Fluids:- 3

The excess pressure inside an air bubble formed in a liquid is -

The excess pressure inside an air bubble of radius r just below the surface of water is P₁. The excess pressure inside a drop of the same radius just outside the surface is P₂. If T is surface tension then -

A drop of water and a soap bubble have the same radii. Surface tension of soap solution is half of that of water. The ratio of excess pressure inside the drop and bubble is -

If two soap bubbles of different radii are in communication with each other, then -

A soap bubble of radius r₁ and another soap bubble of radius r₂(>r₁) are brought together so that they have a common interface. The radius of the interface is–