MHT CET 2022 Physics question

The soap bubbles of radii r and r in vacuum coalesce under isothermal conditions. The resulting bubble has radius equal to

(A)Correct
(B)
(C)
(D)

Answer: (A)

Solution

In vacuum the external pressure is zero, so the pressure inside a soap bubble is just the excess pressure . For isothermal coalescence, of the gas is conserved: . With and we get

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Question ID VK-094065