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KVPY Sample Paper KVPY Stream-SX Model Paper-12

  • question_answer
    Water from a pipe is coming at a rate of 100 liters per minute. If the radius of the pipe is 5 cm, the Reynolds number for the flow is of the order of: (density of water \[=1000\,\text{kg/}{{\text{m}}^{3}},\]coefficient of viscosity of water\[=1\,mPa\,s\])

    A) \[{{10}^{4}}\]

    B) \[{{10}^{3}}\]

    C) \[{{10}^{2}}\]

    D) \[{{10}^{6}}\]

    Correct Answer: A

    Solution :

    \[{{R}_{e}}=\frac{dv\rho }{\eta }\] \[=\frac{({{10}^{-1}})\left( \frac{{{10}^{-1}}}{60} \right)\left( \frac{1}{\pi 25\times {{10}^{-4}}} \right)({{10}^{3}})}{{{10}^{-3}}}\] \[\simeq 212.\times {{10}^{3}}\] Order \[={{10}^{4.}}\]


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