When a large air bubble rises from the bottom of a lake to the surface, its radius doubles. If the atmospheric pressure is equal to that of a column of water of height 
, then depth of the lake is
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
C
Volume of air bubble 
We get, 
If 
is 2 times, 
becomes 8 times at the surface of lake. Pressure at the surface of lake is given
atmosphere, 
where, 
density of water
Pressure at the bottom of lake,
Pressure of atmosphere + Pressure of water
where, 
depth of lake Let final volume, 
.
Because temperature is constant, hence from Boyle's law
.
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