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JEE Main202524 Jan 2025Morning ShiftPhysicsMechanical Properties of FluidsActual

The amount of work done to break a big water drop of radius ' R ' into 27 small drops of equal radius is 10 J . The work done required to break the same big drop into 64 small drops of equal radius will be

Options

  1. A15 J
  2. B5 J
  3. C20 J
  4. D10 J

Correct answer

A. 15 J

Step-by-step solution

aligned & W₁=s 4 ( R 3 )^2 27-4 R^2 s & W₁=4 R^2 s(2)=10 Joule aligned Now, W₂=s 4 R^2(4-1)=4 R^2 s 3 W₂=3 10 2 =15 Joule

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