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The surface energy of a liquid drop is E...

The surface energy of a liquid drop is `E`. It is sprayed into `1000` equal droplets. Then its surface energy becomes

A

1000E

B

100 E

C

10 E

D

E

Text Solution

Verified by Experts

The correct Answer is:
C
Initial energy E ` = 4 pi R^2 xx sigma `
From volume conservation : ` (4)/(3) pi R ^ 3 = 1000 (4)/(3) pi r ^ 3 rArr R = 10 r`
Now final energy = `1000 4 pi r ^ 2 sigma = 10 xx (4pi R ^ 2 ) sigma = 10 E `
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