Properties Of Solids And Liquids Question 349

Question: A liquid drop of diameter D breaks upto into 27 small drops of equal size. If the surface tension of the liquid is s, then change in surface energy is[DCE 2005]

Options:

A) $ \pi D^{2}\sigma $

B) $ 2\pi D^{2}\sigma $

C) $ 3\pi D^{2}\sigma $

D) $ 4\pi D^{2}\sigma $

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Answer:

Correct Answer: B

Solution:

Work done = $ 4\pi R^{2}T({{n}^{1/3}}-1) $

$ =4\pi {{\left( \frac{D}{2} \right)}^{2}}\sigma ({{n}^{1/3}}-1) $

$ =\pi D^{2}\sigma ({{27}^{1/3}}-1) $

$ =2\pi D^{2}\sigma $



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