Q.

The excess of pressure across a soap bubble of radius r is p=4T/r. where T  is surface tension of soap solution. What is the excess of pressure across an air bubble of the same radius r formed inside a container of soap solution ?

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a

T/r

b

2T/r

c

4T/r

d

8T/r

answer is B.

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Detailed Solution

For an air bubble formed inside the soap solution, there  is only one surface in contact with soap solution. Hence the excess of pressure is half that of a soap bubble. ∴  Excess of pressure =12×4Tr=2Tr
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The excess of pressure across a soap bubble of radius r is p=4T/r. where T  is surface tension of soap solution. What is the excess of pressure across an air bubble of the same radius r formed inside a container of soap solution ?