1
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Question

# If the excess pressure inside a soap bubble of radius r1 in air is equal to the excess pressure inside air bubble of radius r2 inside the soap solution, then r1:r2 is

A
2:1
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B
1:2
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C
1:4
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D
2:1
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E
1:2
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Solution

## The correct option is B 2:1When the soap bubble of radius r1 in air, the excess pressureΔp1=4Tr1When the air bubble of radius r2 inside the soap solution, the excess pressureΔp2=2Tr2∴Δp1Δp2=4Tr1/2Tr2Δp1 and Δp2 are sameΔp1Δp2=1∴1=2r2r1or r1r2=2or r1:r2=2:1

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