The Pitot tube shown in the figure is used to measure fluid flow velocity in a pipe of cross sectional area $S$. It was invented by a French engineer Henri Pitot in the early $18^{th}$ century. The volume of the gas flowing across the section of the pipe per unit time is (The difference in the liquid columns is $\Delta h,  \rho_0$ and  $\rho$  are the densities of liquid and the gas respectively) :-

819-288

  • A

    $Q = \,2s\sqrt {\frac{{\Delta h{\rho _0}g}}{\rho }} $

  • B

    $Q = \,s\sqrt {\frac{{2\Delta h{\rho _0}g}}{\rho }} $

  • C

    $Q = \,s\sqrt {\frac{{\Delta h{\rho _0}g}}{\rho }} $

  • D

    $Q = \,s\sqrt {\frac{{2\Delta h{\rho}g}}{{{\rho _0}}}} $

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