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Question

Pressure inside two soap bubbles of a liquid solution are 1.01 atm and 1.02 atm. Ratio of their volume is

A
4:1
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B
8:1
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C
1:8
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D
1:4
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Solution

The correct option is B 8:1
We know, for soap bubble
ΔP=4Tr
PaPo=4Tra
and PbPo=4Trb


Po=1 atm
PA=1.01 atm, PB=1.02 atm
4Tra=0.01(1)
and 4Trb=0.02(2)
Dividing equation (2) by (1), we get
rarb=2
Ratio of volume,
VaVb=43πr3a43πr3b=(rarb)3=81

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