Q145 / 160 · TS EAMCET 2012 · Physics

A pipe having an internal diameter $D$ is connected to another pipe of same size. Water flows into the second pipe through ' $n$ ' holes, each of diameter $d$. If the water in the first pipe has speed $v$, the specd of water leaving the second pipe is

  • Correct answer
    A
    $\frac{D^2 v}{n d^2}$
  • B
    $\frac{D^2 v}{d^2}$
  • C
    $\frac{n d^2 v}{D^2}$
  • D
    $\frac{d^2 v}{\pi d^2}$

Solution

$\pi\left(\frac{D}{2}\right)^2 X v=n\left(\frac{d}{2}\right)^2 X v^{\prime}, \quad v^{\prime}=\frac{D^2 v}{n d^2}$

Hence, the correct answer is option: 'A'.

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