A large number of liquid drops each of radius r coalesce to from a single drop of radius R . The energy released in the process is converted into kinetic energy of the big drop so formed. The speed of

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A large number of liquid drops each of radius r coalesce to from a single drop of radius R . The energy released in the process is converted into kinetic energy of the big drop so formed. The speed of the big drop is (given, surface tension of liquid T , density ρ )

TestHub · Accepted Answer

When drops combine to form a single drop of radius R . Then energy released, E = 4 π TR 3 [ r 1 ​ − R 1 ​ ] If this energy is converted into kinetic energy then 2 1 ​ mv 2 = 4 π R 3 T [ r 1 ​ − R 1 ​ ] 2 1 ​ × [ 3 4 ​ π R 3 ρ ] v 2 = 4 π R 3 T [ r 1 ​ − R 1 ​ ] v = ρ 6 T ​ [ r 1 ​ − R 1 ​ ] ​ ​

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