In the figure shown, two different liquids of densities $\rho_1$ and $\rho_2\left(\rho_1\rho_2\righ

Question

In the figure shown, two different liquids of densities $\rho_1$ and $\rho_2\left(\rho_1>\rho_2\right)$ flow with same velocity $v$ in two identical tubes. If $h_1$ and $h_2$ are the readings in the respective manometers, then

Professor PC Thomas Classes · Answer

Using Bernoulli's equation and manometric equation \Case A: $ho g h_1=ho_1 g h_1+ho_1 \frac{v^2}{2} \quad$ or $\quad h_1=\frac{v^2}{2 g} \frac{1}{\left(\frac{ho}{ho_1}-1ight)}$ \Case B: $ho g h_2=ho_2 g h_2+ho_2 \frac{v^2}{2}$ or $\quad h_2=\frac{v^2}{2 g} \frac{1}{\left(\frac{ho}{ho_2}-1ight)}$