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  • <img alt="\begin{array}{l}{\text { An inverted U-tube manometer shown }} {\text { in figure } \text { is used to measure the difference in water level }} \\ {\text { between the two tanks. Calculat

\begin{array}{l}{\text { An inverted U-tube manometer shown }} {\text { in figure } \text { is used to measure the difference in water level }} \\ {\text { between the two tanks. Calculate this difference between the water level for the }}{\text {conditions indicated. }}\end{array}(Find in cm)

Option: 1 4

Option: 2 2

Option: 3 3

Option: 4 8

Answers (1)

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The inverted U-tube manometer is used for finding. the difference of water level in two tanks. Draw a horizontal straight line passing through the lower level and upper level liquid in the manometer as shown in Figure. Starting from top of tank 2 and moving through the tube and reaching the top of tank 1, the manometric equation can be written as

                    \begin{array}{c}{p_{a}+h_{1} \rho g-40 \rho_{1} g+40 \rho g=p_{a}+h_{2} \rho g} \\ {h_{2} \rho g-h_{1} \rho g=40 \rho g-40 \rho_{1} g}\end{array}

                               

                                     

                                   \begin{aligned} \rho_{1} &=0.9 \rho \\\left(h_{2}-h_{1}\right) \rho g &=40 \rho g-36 \rho g \\ h_{2}-h_{1} &=4 \mathrm{cm} \end{aligned}

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Ajit Kumar Dubey

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