JEE Main Physics question

PhysicsMechanical Properties of FluidsJEE Main

The diameter of a gas bubble formed at the bottom of a pond of depth is . As the bubble rises to the surface, its diameter becomes larger. Given the surface tension of water and standard atmospheric pressure, find the depth of the pond (in metres).

Answer: 5

Solution

Using Boyle's law for the trapped gas together with the excess (Laplace) pressure due to surface tension at each depth, and equating $+ρ_w

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Question ID VK-155033