Water flows steadily through a horizontal pipe of variable cross-section. If the pressure of water is $P$ at a point where flow speed is $v$ , the pressure at another point where the flow speed is $2v$ , is (Take density of water as $\rho $ )

  • A

    $P - \frac{{3\rho {v^2}}}{2}$

  • B

    $P - \frac{{\rho {v^2}}}{2}$

  • C

    $P - \frac{{3\rho {v^2}}}{4}$

  • D

    $P -\rho v^2$

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