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An air bubble doubles its radius on rais...

An air bubble doubles its radius on raising from the bottom of water reservoir to the surface of water in it. If the atmosphetic pressure is equal to 10 m of water, the height of water in the reservoir will be

A

10 m

B

20 m

C

70 m

D

80 m

Text Solution

Verified by Experts

The correct Answer is:
C
`(P_1V_1)_"bottom"=(P_2V_2)_"top"" [Boyle.s law]"`
`(10+h)xx4/3pir_1^3=10xx4/3pir_2^3" but "r_2=2r_1`
`therefore(10+h)r_1^3=10xx8r_1^3rArr10+h=80`
`thereforeh=70m`
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