JEE Advanced 2020 Physics question

PhysicsThermodynamicsJEE Advanced 2020

A spherical bubble inside water has radius . Take the pressure inside the bubble and the water pressure to be . The bubble now gets compressed radially in an adiabatic manner so that its radius becomes . For the magnitude of the work done in the process is given by , where is a constant and . The value of is .

Answer: 2.05

Solution

Initial volume ; for the volume decreases by . For the adiabatic gas = constant, so for a small decrease in volume the gas pressure is , while the water pressure stays . The net work done by the

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Question ID VK-033798