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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

28H

B

25H

C

27H

D

26H

Text Solution

Verified by Experts

The correct Answer is:
D
According to the relation, `P_(1)V_(1) = P_(2) V_(2)`
`(H + h) rho g xx (4)/(3) pi r^(3) = H rho g xx (4)/(3) pi (3r)^(3)`
`(H + h) r^(3)= 27 Hr^(3)`
`rArr h= 26H`
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