Find the pressure inside an air bubble of radius 1 mm at a depth of 20 m in water. (Assume ` P _ 0 " " 10 ^5 N//m^ 2`, surface tension of water ` 0.072 N//m` )

Options

A. 300000 Pa
B. 300144 Pa
C. 300288 Pa
D. 300072 Pa

Answer

B

Explanation

` P = P _ 0 + rho gh + ( 2 T ) /( R) = 10 ^(5) + (10 ^ 3 ) (10) (20 ) + (2 xx (72 xx 10 ^(-3)))/((1 xx 10 ^(-3))) = 3 xx 10 ^(5) + 144 = 300144 `N//m^ 2 `