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What is the change in surface energy , w...

What is the change in surface energy , when a mercury drop of radius R split up into 1000 droplets of radius of r ? [ The surface tension of mercury is T ]

A

`8piR^(2)T`

B

`16piR^(2)T`

C

`25piR^(2)T`

D

`36piR^(2)T`

Text Solution

Verified by Experts

The correct Answer is:
D
` 4/3 piR^(3)=1000 xx 4/3 pir^(3) " " :. r = R/10`
` :. dE = T [4pir^(2)xx 1000 - 4piR^(2)]`
` = 4piT ((1000R^(2))/100 -R^(2))= 9R^(2) xx 4pi T = 36 pi R^(2)T`
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