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Physics Fluid Mechanics NTA Abhiyas Question MCQ (Single Correct)

If the work done in blowing a soap bubble of volume V is W, then the work done in blowing a soap bubble of volume 2V under the same conditions will be

A
W
B
2W
C
W
D
4 1/3 W

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Text Solution

Verified by Experts
The correct answer is:
D

The work done will be against surface tension and we know that surface tension is

related to work as W = T x A

Since, the surface area of sphere is 4 R 2 and there are two free surfaces, we have

W = T x 8 R 2 ...(i)

and volume of sphere

i.e.

...(ii)

From Eqs. (i) and (ii), we get

and,

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