Properties Of Solids And Liquids Question 358

Question: A mercury drop of radius 1cm is sprayed into $ 10^{6} $ drops of equal size. The energy expended in joules is (surface tension of Mercury is $ 460\times {{10}^{-3}}N/m) $ [EAMCET 2001]

Options:

A) 0.057

B) 5.7

C) $ 5.7\times {{10}^{-4}} $

D) $ 5.7\times {{10}^{-6}} $

Show Answer

Answer:

Correct Answer: A

Solution:

$ W=T\Delta A=4\pi R^{2}T({{n}^{1/3}}-1) $

$ =4\times 3.14\times {{({{10}^{-2}})}^{2}}\times 460\times {{10}^{-3}}\times [{{(10^{6})}^{1/3}}-1] $

$ =0.057 $



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