An air bubble of radius 1mm is formed inside water at a depth 10m below free surface (where air pressure is `10^5 N/m^2`). The pressure inside the bubble is – (Surface tension of water = `7 x× 10^(–2) N//m)`

Options

A. `2.28xx10^(5)Nm^(-2)`
B. `2.0028xx10^(5) Nm^(-2)`
C. `2.14xx10^(5) Nm^(-2)`
D. `2.0014xx10^(5) Nm^(-2)`

Answer

D

Explanation

Pressure inside the bubble
`=" Pressure outside it "+(2T)/r=(p_(o)+rhogh)+(2T)/r`
`=10^(5)+(10^(3)xx10xx10)+(2xx7xx10^(-2))/10^(-3)`
`=2.0014xx10^(5)Nm^(-2)`