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Question: Answered & Verified by Expert
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
PhysicsMechanical Properties of FluidsNEET
Options:
  • A 1 : 10
     
  • B 1 : 15
     
  • C 1 : 20
     
  • D 1 : 25
     
Solution:
1970 Upvotes Verified Answer
The correct answer is: 1 : 20
 

As volume remains constant R 3 =8000 r 3 R=20r

Surface energy of one big drop Surface energy of 8000 small drop = 4π R 2 T 8000 4π r 2 T

= R 2 8000 r 2 = ( 20r ) 2 8000 r 2 = 1 20

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