Q.

When an air bubble of radius ‘r’ rises from the bottom to the surface of a lake, its radius becomes 5r/4 (the pressure of the atmosphere is equal to the 10m height of water column). If the temperature is constant and the surface tension is neglected, the depth of the lake is

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a

3.53 m

b

6.53 m

c

9.53 m

d

12.53m

answer is C.

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Detailed Solution

P1V1=P2V2 ;(P+hdg)V0=PV1
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When an air bubble of radius ‘r’ rises from the bottom to the surface of a lake, its radius becomes 5r/4 (the pressure of the atmosphere is equal to the 10m height of water column). If the temperature is constant and the surface tension is neglected, the depth of the lake is