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ExamsJEE MainPhysics

Two soap bubbles have internal pressures of 1.01 atm and 1.02 atm respectively, the surrounding atmospheric pressure being 1 atm. Find the ratio of their volumes.

  1. 102:101
  2. (102)³: (101)³
  3. 8: 1
  4. 2: 1

Correct answer: 8: 1

Solution

The gauge (excess) pressures are 0.01 atm and 0.02 atm. Since excess pressure is inversely proportional to radius, the radius ratio is 2:1, and the volume ratio is its cube.

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