The ratio of radii of two bubbles is `2 : 1`. What is the ratio of excess pressures inside them ?

Options

A. `1 : 2`
B. `1 : 4`
C. `2 : 1`
D. `4 : 1`

Answer

A

Explanation

The excess pressure inside the bubble
`p=(4T)/(r). "then" p_(1=(4T))/(r_(1))....(i)`
`p_(2)=(4T)/(r_(2))....(ii)`
From Eqs. (i) and (ii), we get
`(p_(1))/(p_(2))=(4T//r_(1))/(4T//r_(2))=(r_(2))/(r_(1))=(1)/(2)`