Fluid MechanicsMedium
Question
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 the depth of lake is : -
Options
A.H
B.2H
C.7H
D.8H
Solution
P1V1 = P2V2 ⇒ (Patm + hρwg) 
πr3 = Patm × 
π(2r)3
⇒ hρwg = 7Patm
∵ Patm = Hρwg ⇒ hρwg = 7Hρwg ⇒ h = 7H
πr3 = Patm × π(2r)3⇒ hρwg = 7Patm
∵ Patm = Hρwg ⇒ hρwg = 7Hρwg ⇒ h = 7H
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