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Physics Fluid Mechanics Surface Tension MCQ (Single Correct)

If million small drops of water coalesce into one larger drop, then the ratio of total surface energy of the larger drop to that of the smaller drops combined will be

A
B

C
D

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The correct answer is:
C

Let be the radius of each droplet and be the radius of the big drop.
Since the total volume is the same, we have

The surface energy of one million drops,

The surface energy of one big drop,

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