First slide

Surface tension and surface energy

Question

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

Moderate

A

1000E
B

100E
C

E
D

10E

Solution

$F i n a l s u r f a c e e n e r g y = 1000 \times 4 π r^{2} σ$
$I n i t i a l s u r f a c e e n e r g y = E = 4 π R^{2} σ$
$Again, \frac{4}{3} π R^{3} = 1000 \times \frac{4}{3} π r^{2} or R = 10 r$
Now, final energy = $1000 \times 4 π r^{2} σ = 10 \times 4 π R^{2} σ = 10 E$

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