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AP EAMCET · PHYSICS · Mechanical Properties of Fluids

One thousand small water drops of equal radii combine to form a big drop. The ratio of final surface energy to total initial surface energy is

  1. A \(1000: 1\)
  2. B \(1: 1000\)
  3. C \(10: 1\)
  4. D \(1: 10\)
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Answer & Solution

Correct Answer

(D) \(1: 10\)

Step-by-step Solution

Detailed explanation

Let radius of big drop \(=R\) Radius of small drop \(=r\) Number of small drops, \(n=1000\) In this process, the volume remains same \(V_f=V_i\) \(\frac{4}{3} \pi R^3=n\left(\frac{4}{3} \pi r^3\right)\) \(R^3=1000 r^3 \Rightarrow R=10 r\) ...(i) Initial surface area,…
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