Properties Of Solids And Liquids Question 247

Question: A soap bubble of radius R is blown. After heating the solution a second bubble of radius 2R is blown. The work required to blow the second bubble in comparison to that required for the first bubble is

Options:

A) Double

B)Slightly less than double

C)Slightly less than four times

D)Slightly more than four times

Show Answer

Answer:

Correct Answer: C

Solution:

[c] work done to form a bubble of radius R W1=8πR2T1 .

Work done to form a bubble of radius 2R W2=8π(2R)2T2=32πR2T2

W1W2=T14T2 .

If surface tension of soap solution is same, then W2=4W1 .

But in the problem the temperature of solution is increased, so its surface tension decreases. W2<4W1



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