Properties Of Solids And Liquids Question 334

Question: The amount of work done in blowing a soap bubble such that its diameter increases from d to D is (T= surface tension of the solution) [MP PMT 1996]

Options:

A) $ 4\pi (D^{2}-d^{2})T $

B) $ 8\pi (D^{2}-d^{2})T $

C) $ \pi (D^{2}-d^{2})T $

D)$ 2\pi (D^{2}-d^{2})T $

Show Answer

Answer:

Correct Answer: D

Solution:

$ W=T\times 8\pi (r _{2}^{2}-r _{1}^{2})=T\times 8\pi \left( \frac{D^{2}}{4}-\frac{d^{2}}{4} \right) $

$ =2\pi (D^{2}-d^{2})T $



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