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Homework Statement
Find the flow rate of water. The fluid in the manometer is mercury. ##d_{1},d_{2}## are the diameters in the figure
Homework Equations
Bernoulli, continuity equations
The Attempt at a Solution
We know that
##p_{1}=p_{1Top}+\rho_{water}gh_{2}##, ##p_{2}=p_{2Top}+\rho_{water}gh_{3}##
which means
##p_{1Top}p_{2Top}=p_{1}p_{2}+\rho_{water}gh##
on the other hand
##p_{1}p_{2}=\rho_{Hg}gh##
so
##p_{1Top}p_{2Top}=gh(\rho_{water}+\rho_{Hg})##
But in the solution it is
##p_{1Top}p_{2Top}=gh\rho_{Hg}##
where did I go wrong?
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