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Question: If the radius of a soap bubble is four times that of another, then the ratio of their excess pressur...

If the radius of a soap bubble is four times that of another, then the ratio of their excess pressures will be

A

1 : 4

B

4 : 1

C

16 : 1

D

1 : 16

Answer

1 : 4

Explanation

Solution

Excess pressure inside a soap bubble ΔP=4Tr\Delta P = \frac{4T}{r}

⇒ ΔP1ΔP2=r2r1=1:4\frac{\Delta P_{1}}{\Delta P_{2}} = \frac{r_{2}}{r_{1}} = 1:4