A) \[\frac{dp}{dz}=-\frac{\rho }{g}\]
B) \[\frac{dp}{g}\,=\,-\,\frac{dz}{\rho }\]
C) \[\rho \,dp=-\frac{dz}{g}\]
D) \[\frac{dp}{\rho }=-g\,dz\]
Correct Answer: D
Solution :
Bernoulli's equation is: \[\frac{{{v}^{2}}}{2g}+\frac{p}{\rho g}+z=const\] \[For\,\,v=0,\]\[\frac{p}{\rho g}+z=const\] \[\frac{p}{\rho g}+z=const\] \[dp/\rho +gdz=0\] or \[\frac{dp}{\rho }=-gdz\]
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