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Chapter 8: Problem 112

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.

Short Answer

Expert verified
The correct answer to the problem is (C): Air flows from the smaller bubble to the bigger bubble.

Step by step solution

01

Evaluate the Initial Situation

In the situation presented, two soap bubbles of different sizes are connected by a tube. Initial observation suggests that there is a difference in the pressure inside the two bubbles because of their different radii.
02

Apply the Formula for Pressure inside a Bubble

By using the formula \( P = \frac{4S}{r} \), we can understand that the smaller bubble will have a higher internal pressure compared to the larger one (due to inverse proportionality). Thus, the smaller bubble is under higher pressure than the larger bubble.
03

Determine the Flow of Air

Air will always move from areas of higher pressure to areas of lower pressure until equilibrium is reached. Therefore, in this case, air will travel from the smaller bubble (higher pressure) into the larger bubble (lower pressure).

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