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Q.

A certain number of spherical drops of a liquid of radius r coalesce to form a single drop of radius R and volume V. If T is the surface tension of the liquid, then

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a

Energy = 4VT(1r-1R) is released

b

Energy = 3VT(1r+1R) is absorbed

c

Energy = 3VT(1r-1R) is released

d

Energy is neither released nor absorbed

answer is C.

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Detailed Solution

Energy released = (Af-Ai)TAf = 4πR2= 334πR3R = 3VRAi = n×4πr2 = V43πr34πr2 = 3Vr⇒  Energy released = 3VT[1r-1R]
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A certain number of spherical drops of a liquid of radius r coalesce to form a single drop of radius R and volume V. If T is the surface tension of the liquid, then