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Question

An air bubble of volume v0 is released by a fish at a depth h in a lake. The bubble rises to the surface. Assume constant temperature and standard atmospheric pressure P above the lake. The volume of the bubble just before reaching the surface is (d is the density of water).


A
v0+hgdP
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B
v0(P+hgd)P
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C
v0P+hgd
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D
(v0+v0dg)
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Solution

The correct option is A v0(P+hgd)P
Assuming air to be an ideal gas which follows ideal gas law PV=nRT and temperature remains the same,
PV= constant
PbottomVbottom=PtopVtop
Vtop=PbottomVbottomPtop
=(P+hgd)v0P

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