Properties Of Solids And Liquids Question 290

Question: The volume of an air bubble becomes three times as it rises from the bottom of a lake to its surface. Assuming atmospheric pressure to be 75 cm of Hg and the density of water to be 1/10 of the density of mercury, the depth of the lake is[AMU 1995]

Options:

A)5 m

B)10 m

C)15 m

D)20 m

Show Answer

Answer:

Correct Answer: C

Solution:

P1V1=P2V2

therefore (P0+hρg)V =P0×43π(2r)3

therefore hρg=2P0

therefore h=2×75×13.6×g13.610×g = 15 m



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