Properties Of Solids And Liquids Question 335

Question: If T is the surface tension of soap solution, the amount of work done in blowing a soap bubble from a diameter D to 2D is[MP PMT 1990]

Options:

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

B)4$ \pi D^{2}T $

C) 6$ \pi D^{2}T $

D)8$ \pi D^{2}T $

Show Answer

Answer:

Correct Answer: C

Solution:

Work done to increase the diameter of bubble from d to D $ W=2\pi (D^{2}-d^{2})T=2\pi [{{(2D)}^{2}}-{{(D)}^{2}}]\ T=6\pi D^{2}T $



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