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Radius of an air bubble at the bottom of...

Radius of an air bubble at the bottom of the lake is `r` and it becomes `2 r` when the air bubbles rises to the top surface of the lake. If P cm of water be the atmospheric pressure, then the depth of the lake is

A

142.80 m

B

72.35 m

C

723 m

D

100 m

Text Solution

Verified by Experts

The correct Answer is:
B
When radius becomes double, volume becomes 8 times. Pressure at the bottom is thus 8 times the atmospheric pressure. Pressure of liquid column is 7 times atmospheric pressure
` = 7 xx 76 xx 13.6`
`= 7 xx 76 xx 13.6 cm " of " H_2O = 72.35m` of water
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