The excess pressure inside a soap bubble is assumed to depend only on its surface…

PHYSICS · Single correct · A Level · Physics · Measurements and their errors · Measurements and their errors

Problem

The excess pressure ΔP\Delta P inside a soap bubble is assumed to depend only on its surface tension SS and radius rr. Select the option that gives a dimensionally valid proportionality. (a) ΔP∝S r\Delta P \propto S\, r (b) ΔP∝S r−1\Delta P \propto S\, r^{-1} (c) ΔP∝S2 r−1\Delta P \propto S^{2}\, r^{-1} (d) ΔP∝S−1 r\Delta P \propto S^{-1}\, r

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