Question

If two soap bubbles of different radii are connected by a tube (A) Air flows from the bigger bubble to the smaller bubble till the sizes become equal. (B) Air flows from bigger bubble to the smaller bubble till the sizes are interchanged. (C) Air flows from the smaller bubble to the bigger bubble. (D) There is no flow of air.

Name: Problem 112, Chapter 8: A Complete Resource Book in Physics for JEE Main
Uploaded: 2021-10-07T05:00:20-08:00
Duration: 1 min 47 s
Channel: Mahipal Kumawat
Description: If two soap bubbles of different radii are connected by a tube (A) Air flows from the bigger bubble to the smaller bubble till the sizes become equal. (B) Air flows from bigger bubble to the smaller bubble till the sizes are interchanged. (C) Air flows from the smaller bubble to the bigger bubble. (D) There is no flow of air.

   If two soap bubbles of different radii are connected by a tube
(A) Air flows from the bigger bubble to the smaller bubble till the sizes become equal.
(B) Air flows from bigger bubble to the smaller bubble till the sizes are interchanged.
(C) Air flows from the smaller bubble to the bigger bubble.
(D) There is no flow of air.

A Complete Resource Book in Physics for JEE Main

Sanjeev Kumar 1st Edition

Chapter 8, Problem 112

Instant Answer

Solved by Expert Mahipal Kumawat

10/07/2021

Step 1

The excess pressure is the difference between the pressure inside the bubble and the pressure outside the bubble. Mathematically, it can be represented as $\Delta P = P_1 - P_0$, where $P_1$ is the pressure inside the bubble and $P_0$ is the pressure outside the Show more…

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If two soap bubbles of different radii are connected by a tube (A) Air flows from the bigger bubble to the smaller bubble till the sizes become equal. (B) Air flows from bigger bubble to the smaller bubble till the sizes are interchanged. (C) Air flows from the smaller bubble to the bigger bubble. (D) There is no flow of air.

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Key Concepts

Surface Tension

Surface tension is a property of liquids that causes the surface to behave like a stretched elastic membrane. It minimizes the surface area and plays a critical role in determining the stability and shape of bubbles.

Laplace's Law

Laplace's Law relates the pressure difference across a curved surface to the surface tension and the radius of curvature. In the context of bubbles, it explains why a smaller bubble exhibits a higher internal pressure compared to a larger bubble.

Pressure Differential in Curved Surfaces

Because the pressure inside a bubble is inversely proportional to its radius, smaller bubbles have higher internal pressure than larger ones. This pressure difference is the driving force for fluid flow between connected bubbles, leading to phenomena such as air moving from a smaller bubble to a larger bubble.

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