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  4. In the diagram shown, the difference in the two tubes of the manometer is 5 cm, the cross section of the tube at A and B is 6 mm2 and 10 mm2 respectively. The rate at which water flows through the tube is (g = 10 ms-2)

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Q. In the diagram shown, the difference in the two tubes of the manometer is $5\, cm$, the cross section of the tube at $A$ and $B$ is $6\, mm^2$ and $10 \,mm^2$ respectively. The rate at which water flows through the tube is ($g = 10 \,ms^{-2}$)Physics Question Image

JEE MainJEE Main 2014Mechanical Properties of Fluids

Solution:

$Q = A _{1} \,A _{2} \sqrt{\frac{2 g \left( h _{1}- h _{2}\right)}{\left( A _{1}^{2}- A _{2}^{2}\right)}} $
$=6 \times 10 \times 10^{-4} \sqrt{\frac{2 \times 980(5)}{(-36+100) \times 10^{-2}}} $
$=6 \times 10^{-3} \sqrt{\frac{9800 \times 10^{2}}{64}}$
$=\frac{6 \times 10^{-3} \times 1000}{8}=7.5$