In rising from the bottom of a lake to the top, the \( P \) tempera...

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In rising from the bottom of a lake to the top, the
\( P \) temperature of an air bubble remains unchanged, but its diameter
\( \mathrm{W} \) is doubled. If \( h \) is the barometric height (expressed in metres of mercury of relative density \( \rho \) ) at the surface of the lake, the depth of the lake is (in metres)
(A) \( 8 \rho h \)
(B) \( 4 \rho h \)
(C) \( 7 \rho h \)
(D) \( 2 \rho h \)
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