- #1

Jenny Physics

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- 4

## 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?