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Q.

Work W is required to form a soap bubble of soap solution of volume V. What amount of work is required to be done to form a bubble of volume 8V?

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a

16W

b

2W

c

4W

d

8W

answer is A.

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Detailed Solution

If T be the surface tension of soap solution and r be the radius of smother bubble then,W=2×4πr2×T=8πr2TNow 43πR3=8×43πr3⇒R=2r∴   W'=2×4πR2T=4×8πr2T=4W
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Work W is required to form a soap bubble of soap solution of volume V. What amount of work is required to be done to form a bubble of volume 8V?