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 $
Show Answer
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 $
