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When a large bubble rises from the botto...

When a large bubble rises from the bottom of a lake to the surface its radius doubles. If atmospheric pressure is equal to that of column of water height H then the depth of lake is

A

H

B

2H

C

7H

D

8H

Text Solution

Verified by Experts

The correct Answer is:
C
`P_1V_1=P_2V_2 implies (P_0+h rho g)xx4/3 pi r^3 = P_0xx4/3 pi(2r)^3`
`h rho g=7P_0 implies h=7 xx (H rho g)/(rho g)=7H`
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