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Q.

When a large bubble rises from the bottom of a lake to the surface, its radius doubles. The atmospheric pressure is equal to that of a column of water of height H. The depth of the lake is:

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a

H

b

2 H

c

7 H

d

8 H

answer is C.

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Detailed Solution

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