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JEE Main & Advanced JEE Main Paper (Held On 10 April 2015)

  • question_answer
    If it takes 5 minutes to fill a 15 litre bucket from a water tap of diameter\[\frac{2}{\sqrt{\pi }}cm\]then the Reynolds number for the flow is (density of water \[={{10}^{3}}kg/{{m}^{3}}\]and viscosity of water \[={{10}^{-3}}Pa.s\]) close to: JEE Main Online Paper (Held On 10 April 2015)

    A)  11,000                 

    B)  5500

    C)  550                                       

    D)  1100

    Correct Answer: B

    Solution :

                     Time = 5 min = 300 sec. Volume \[=15\,ltr.=15\times {{10}^{-3}}{{m}^{3}}\] Diameter \[=\frac{2}{\sqrt{\pi }}cm\] Area of tap \[=\pi {{\left( \frac{2}{\sqrt{\pi }}\times {{10}^{-2}} \right)}^{2}}={{10}^{-4}}{{M}^{2}}\] Velocity of water \[=\frac{V}{At}=\frac{15\times {{10}^{-3}}}{1\times {{10}^{-4}}\times 300}=\frac{1}{2}m/\sec \] \[{{R}_{w}}=\frac{\rho Vd}{\eta }\]                         \[=5649=5500\]


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