1.

When air bubble comes from bottom to the top of a lake its radius becomes n times. If temperature remains constant through out the lake the depth of the lake will be,

Answer»

Solution :From Boyle.s law
PV = constant `P_(1)V_(1)=P_(2)V_(2),4/3piR^(3)(P_(0)+hrhog+(2S)/R)=(P_(0)+(2S)/(nR))4/3pi(nR)^(3)`
`hrhog=P_(0)(n^(3)-1)+(2S)/(nR)n^(3)-(2S)/R,H=(P_(0)(n^(3)-1)+(2S)/R[n^(2)-1])/(rhog)`


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