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Q.

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

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a

1 : 10

b

1 : 15

c

1 : 20

d

1 : 25

answer is C.

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Detailed Solution

As volume remains constant R3=8000r3∴R=20r Surface energy of one big drop  Surface energy of 8000 small drop =4πR2T8000(4πr2T)=R28000r2=(20r)28000r2=120
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8000 identical water drops are combined to form a big drop. Then the ratio of the final surface energy to the initial surface energy of all the drops together is