When a large bubble rises from the bottom of a lake to the surface its radius doubles. If atmospheric pressure is equal to that of column of water height H then the depth of lake is
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TOP = bottem
p1v1 = a p2v2 p=atmospheric pressure
p*4/3π(2r)^3=(p+h*density*g) *4/3πr^3
p*8 =(p+h*density*g)
7p/(density*g) =h
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