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One thousand small water drops of equal ...

One thousand small water drops of equal radii combine to form a big drop. The ratio of final surface energy to the total initial surface energy is

A

`1: 1000`

B

`10:1`

C

`1:10`

D

`1000:1`

Text Solution

Verified by Experts

The correct Answer is:
C
`4/3 piR^(3) = 1000 xx 4/3 pi r^(3)`
` :. R^(3) = 1000 r^(3) " " :. R = 10r`
` E_(1) = 1000 T (4pir^(2)) " " E_(2) = T xx 4pi (10r)^(2)`
` :. (E_(2))/(E_(1)) = (100r^(2))/(1000r^(2))=1/10`
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Knowledge Check

  • 8000 identical water drops are combined to form a big drop then the ratio to the final surface energy to the initial surface energy. If all the drops together is

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