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At certain temperature radius of an air bubble is doubled when it comes to the top from bottom of a mercury column of height H if the pressure is:

1. 5.5
2. 10.64
3. 12.45
4. 15

Correct answer: 10.64

Solution

At constant temperature, the gas obeys Boyle’s law, so pressure is inversely proportional to volume. Since the radius doubles, the bubble’s volume becomes 8 times larger, and combining this with the pressure drop across the mercury column gives the required pressure ratio of 10.64.

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