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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 2r when the air bubble rises to the top surface of the lake. If P cm of water of the atmospheric pressure , then the depth of the lake is :

A

2P

B

8P

C

4P

D

7P

Text Solution

Verified by Experts

The correct Answer is:
D
` " " (1)/(2) rhov^(2) = (P_1-P_2) `
`(1)/(2) xx 10 ^(3) xx v^(2) = (4.5 xx 10 ^(5) - 4 xx 10 ^(5)) `
` " " v^(2)= 0.5 xx 10 ^(2) xx 2`
` " " = 100 `
` rArr " " v = 10 m//s`
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