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Q.

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

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a

2 P

b

8 P

c

4 P

d

7 P

answer is D.

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Detailed Solution

(PV)bottom =(PV)surface(P0+hρwg)43πr3=P0×43π(2r)3            hρwg =7P0=7P×ρwg ⇒                          h=7P
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