At a depth of 5 m below the free surface of a liquid, an air bubble of radius 2 mm is formed. The pressure inside the bubble will be (The surface tension of water is `20 xx 10^(-8)" N/m.")`

Options

A. `2 xx 10^(5) N//m^(2)`
B. `1.5 xx 10^(5) N//m^(2)`
C. `3 xx 10^(5) N//m^(2)`
D. `5 xx 10^(5) N//m^(2)`

Answer

B

Explanation

Pressure inside the bubble `=(P_(o)+pgh)+(2T)/(r)`
`=(10^(5)+10^(3)+10 xx 5)+2 xx (20 xx 10^(-8))/(2 xx 10^(-3))`
`=150000 +20 xx 10^(-5)`
`=1.5 xx 10^(5)N//m^(2))`