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MHT CET 2022 Physics question

PhysicsMechanical Properties of FluidsMHT CET 2022

A certain number of spherical liquid drops of radius 'r' coalesce to form a single drop of radius 'R' and volume 'V'. If 'T' is the surface tension of the liquid, which one of the following statements is true for the energy E in the process?

Answer: (C)

Solution

Let small drops coalesce. Volume conservation: , so . The surface area decreases, so energy is released: r^2R^2\dfrac{R^3}{r}R^2]R^3\dfrac{1}{r}$ -

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Question ID VK-095898