Two mercury drops (each of radius r ) merge to form a bigger drop. The surface energy of the bigger drop, if T is the surface tension, is

Question

Two mercury drops (each of radius r ) merge to form a bigger drop. The surface energy of the bigger drop, if T is the surface tension, is, 2 5 3 π r 2 T, 4 π 2 T, 2 π r 2 T, 2 8 3 π r 2 T

MARKS App · Accepted Answer

Let R be the radius of the bigger drop, then Volume of bigger drop = 2 × volume of small drop 4 3 π R 3 = 2 × 4 3 π r 3 ⇒ R = 2 1 / 3 r Surface energy of bigger drop, E = 4 π R 2 T = 4 × 2 2 / 3 π r 2 T = 2 8 / 3 π r 2 T

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