Properties Of Solids And Liquids Question 289

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 depth of lake is [AIIMS 1995; AFMC 1997]

Options:

A)H

B)2H

C)7H

D)8H

Show Answer

Answer:

Correct Answer: C

Solution:

P1V1=P2V2

therefore (P0+h+g)×43πr3 =P0×43π(2r)3

Where, h = depth of lake

therefore hρg=7P0

therefore h=7×Hρgρg=7H.



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