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Q.

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

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a

E

b

1000 E

c

100 E

d

10 E

answer is D.

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Detailed Solution

A droplet's surface area directly relates to its surface energy. Let each droplet to have a radius of r after spraying 1000 times.

43πR3=100043πr3 r=R10

The surface area of 1000 droplets is as a result:

1000×(4πr3)=n(4πR3)

where n is the multiplicity of the initial surface area.
Surface area will therefore become 

1000(4πr2)4πR2=n times=10times

EA 

Hence, E '=10E

Hence the correct answer is 10E.

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