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A large number of liquid drops each of r...

A large number of liquid drops each of radius 'a' coalesce to form a single spherical drop of radish b. The energy released in the process is converted into kinetic energy of the big drops formed. The speed of big drop will be

A

`[(6T)/rho(1/a-1/b)]^(1//2)`

B

`[(6T)/rho(1/b-1/a)]^(1//2)`

C

`[(rho)/(6T)(1/a-1/b)]^(1//2)`

D

`[(rho)/(6T)(1/b-1/a)]^(1//2)`

Text Solution

Verified by Experts

The correct Answer is:
A
`1/2mv^2=4pib^2T[1/a-1/b]`
`implies1/2 [4/3pib^3rho]v^2=4pib^3 T[1/a-1/b]`
`implies v^2 =(6T)/(rho)[1/a-1/b]`
`:. v = sqrt((6T)/rho(1/a-1/b))`
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