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

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

A

1 : 4

B

4 : 1

C

16 : 1

D

1 : 16

Answer

1 : 4

Explanation

Solution

ΔP∝1r⇒ΔP1ΔP2=r2r1=r4r=14\Delta P \propto \frac { 1 } { r } \Rightarrow \frac { \Delta P _ { 1 } } { \Delta P _ { 2 } } = \frac { r _ { 2 } } { r _ { 1 } } = \frac { r } { 4 r } = \frac { 1 } { 4 }