The excess pressure inside a soap bubble is thrice the excess pressure inside a second soap bubble. The ratio between the volume of the first and the second bubble is :
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The excess pressure inside a soap bubble is thrice the excess pressure inside a second soap bubble. The ratio between the volume of the first and the second bubble is :

G1 Physics · Accepted Answer

For a soap bubble: ΔP = 4S/r Given: ΔP₁ = 3ΔP₂ Therefore: 4S/r₁ = 3(4S/r₂) Hence: r₂ = 3r₁ Since volume is proportional to r³: V₁/V₂ = r₁³/r₂³ = 1/27 Therefore: V₁ : V₂ = 1 : 27