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Question: Answered & Verified by Expert
A small liquid drop of radius R is divided into 27 identical liquid drops. If the surface tension is T, then the work done in the process will be :
PhysicsMechanical Properties of FluidsJEE MainJEE Main 2024 (29 Jan Shift 2)
Options:
  • A 8πR2T
  • B 3πR2T
  • C 18πR2T
  • D 4πR2T
Solution:
1626 Upvotes Verified Answer
The correct answer is: 8πR2T

Let radius of the newly formed drops be r.

As total volume will remain constant, therefore

43πR3=27×43×πr3

R3=27r3

R=3r

r=R3

r2=R29

Now, work done =T×ΔA

=T27 4πr2-T4πR2=T27 4πR29-T4πR2=TπR212-4

=8πR2T

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