If two soap bubbles of different radii are in communication...

If two soap bubbles of different radii are in communication with each other (a) air flows from larger bubble into the smaller one until the two bubbles are of equal size. (b) the sizes of the bubbles remain the same. (c) air flows from the smaller bubble into the larger one and larger bubble grows at the expense of the smaller one. (d) the air flows from the larger bubble into the smaller bubble until the radius of the smaller one becomes equal to that of the larger one and of the larger one equal to that of the smaller one.

If two soap bubbles of different radii are in communication with each other
(a) air flows from larger bubble into the smaller one until the two bubbles are of equal size.
(b) the sizes of the bubbles remain the same.
(c) air flows from the smaller bubble into the larger one and larger bubble grows at the expense of the smaller one.
(d) the air flows from the larger bubble into the smaller bubble until the radius of the smaller one becomes equal to that of the larger one and of the larger one equal to that of the smaller one.

Key Concepts

Laplace's Law

Laplace's Law explains the relationship between the pressure difference across a curved interface and the radius of curvature, stating that the pressure inside a bubble exceeds the external pressure by an amount proportional to the surface tension divided by the radius. In the context of soap bubbles, a smaller radius leads to a higher internal pressure compared to a larger bubble, which is fundamental to understanding the behavior of connected bubbles.

Surface Tension

Surface tension is the property of a liquid's surface that allows it to resist an external force. It arises due to the cohesive forces between liquid molecules, and in soap bubbles, it plays a crucial role by creating a pressure difference across the bubble’s surface. This pressure difference, in turn, is central to determining how air moves from one bubble to another when they are connected.

Pressure Driven Gas Flow

Pressure driven gas flow refers to the movement of gas from a region of higher pressure to a region of lower pressure. For connected soap bubbles, the difference in internal pressures (caused by their differing radii as explained by Laplace's Law) results in gas flowing from the bubble with the higher pressure (smaller bubble) to the one with lower pressure (larger bubble), leading to growth of the larger bubble at the expense of the smaller one.

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