$A$ dimensionally consistent relation for the volume $V$ of a liquid of coefficient of viscosity $\eta$ flowing per second through a tube of radius $r$ and length $l$ and having a pressure difference $p$ across its end,is

  • A
    $V = \frac{\pi p r^4}{8 \eta l}$
  • B
    $V = \frac{\pi \eta l}{8 p r^4}$
  • C
    $V = \frac{8 p \eta l}{\pi r^4}$
  • D
    $V = \frac{\pi p \eta}{8 l r^4}$

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Water from a pipe is coming at a rate of $100\, L/min$. If the radius of the pipe is $5\, cm$, the Reynolds number for the flow is of the order of: (density of water $= 1000\, kg/m^3$, coefficient of viscosity of water $= 1\, mPa\, s$)

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