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MHT CET · Physics · Mechanical Properties of Fluids

The work done in splitting a water drop of radius \(R\) in to 64 droplets is ( \(\mathrm{T}=\) surface tension of water)

  1. A \(6 \pi \mathrm{TR}^2\)
  2. B \(24 \pi \mathrm{TR}^2\)
  3. C \(12 \pi \mathrm{TR}^2\)
  4. D \(16 \pi \mathrm{TR}^2\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(12 \pi \mathrm{TR}^2\)

Step-by-step Solution

Detailed explanation

\(r = R/4\) \(\Delta A = 64(4\pi r^2) - 4\pi R^2\)