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A liquid drop having surface energy E is...

A liquid drop having surface energy E is spread into 512 droplets of same size. The final surface energy of the droplets is

A

2E

B

4E

C

8E

D

12E

Text Solution

Verified by Experts

The correct Answer is:
C
Volume of one drop = Volume of 512 droplets
` :. 4/3 piR^(3) = 512 xx 4/3 pir^(3)`
` :. R^(3) =512 r^(3) = (8r)^(3) " " :. R = 8r " " :. r = R/8`
Initial surface energy E `= 4piR^(2)T`
(where T = S.T of the liquid )
Final surface energy E' ` = 4piT (r)^(2) xx 512 `
` = 4piT((R^(2))/4) xx512`
`= 4piR^(2)T(8)= 8E`
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