MHT CET 2023 Physics question

PhysicsMechanical Properties of FluidsMHT CET 2023

Two spherical soap bubbles of radii 'a' & 'b' in vacuum coalesce under isothermal conditions. The resulting bubble has a radius equal to

Answer: (C)

Solution

In vacuum the pressure outside is zero, so the pressure inside a bubble is the excess pressure . For isothermal coalescence, the total is conserved (Boyle's law applied to the total amount of gas): . Substituting: $·π +

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Question ID VK-098117