JEE Advanced 2024 Physics question
A spherical soap bubble inside an air chamber at pressure Pa has a certain radius so that the excess pressure inside the bubble is Pa. Now, the chamber pressure is reduced to so that the bubble radius and its excess pressure change. In this process, all the temperatures remain unchanged. Assume air to be an ideal gas and the excess pressure in both the cases to be much smaller than the chamber pressure. The new excess pressure in Pa is .
Solution
For a soap bubble , so . Since the excess pressure is negligible compared with the chamber pressure, the pressure of the air inside the bubble is practically the chamber pressure. The process is isothermal, so
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