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A spherical liquid drop of radius R is s...

A spherical liquid drop of radius R is split up ino 8 equal droplets .If T is the surface tension of the liquid , then the work done in this process is

A

`4piR^(2)T`

B

`8piR^(2)T`

C

`3piR^(2)T`

D

`2piR^(2)T`

Text Solution

Verified by Experts

The correct Answer is:
A
For a water drop , ` W = 4piR^(2)xxT`
` 4/3 piR^(3) = 4/3pir^(3) xx8 " " r = R/2 `
` :. ` Change in Area ` = 4pir^(2) xx 8 - 4piR^(2)`
`dA = 4pi(8r^(2)-R^(2))=4piR^(2)`
` :. " Work done " =T xxdA = 4piR^(2)T`
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