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Concepts Of Physics MCQ Edition [Volume 1]
Exam
Concepts Of Physics MCQ Edition [Volume 1]
Subject
Physics
Chapter
Some Mechanical Properties of Matter

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Some Mechanical Properties of Matter

If two soap bubbles of unequal radii are connected by a tube,

If two soap bubbles of unequal radii are connected by a tube,

Options

  1. Athere is no flow of air
  2. Bair flows from the smaller bubble to the larger bubble
  3. Cair flows from the larger bubble to the smaller bubble until their sizes are interchanged
  4. Dair flows from the larger bubble to the smaller bubble until their sizes become equal

Correct answer

B. air flows from the smaller bubble to the larger bubble

Step-by-step solution

The excess pressure inside a soap bubble of radius RR is given by P=4TRP = \dfrac{4T}{R}, where TT is the surface tension.

For a smaller bubble, the radius RR is less, so the excess pressure PP is greater.

When two bubbles of unequal radii are connected by a tube, air flows from the region of higher pressure to the region of lower pressure.

Therefore, air flows from the smaller bubble to the larger bubble. As air flows out of the smaller bubble, its radius decreases further, increasing the pressure even more, while the larger bubble grows.
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