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NEET Sample Paper NEET Sample Test Paper-58

  • question_answer
    The cylindrical tube of a spray pump has radius R, one end of which has n fine holes, each of radius r. If the speed of the liquid in the tube is V, the speed of the ejection of the liquid through the holes is:

    A) \[\frac{V{{R}^{2}}}{{{n}^{3}}{{r}^{2}}}\]            

    B) \[\frac{{{V}^{2}}R}{nr}\]

    C) \[\frac{V{{R}^{2}}}{{{n}^{2}}{{r}^{2}}}\]            

    D) \[\frac{V{{R}^{2}}}{n{{r}^{2}}}\]

    Correct Answer: D

    Solution :

    [d] mass flow rate equal at both cross sections \[\overset{o}{\mathop{{{m}_{1}}}}\,=\overset{o}{\mathop{{{m}_{2}}}}\,\] \[{{\rho }_{1}}{{V}_{1}}={{\rho }_{2}}{{V}_{2}}\] \[{{V}_{1}}={{V}_{2}}\]                     \[{{\rho }_{1}}\,={{\rho }_{2}}\]when liquid is same \[{{A}_{1}}{{V}_{1}}={{A}_{2}}{{V}_{2}}\] \[\pi {{R}^{2}}V=n\pi {{r}^{2}}{{V}_{2}}\] \[{{V}_{2}}=\frac{V{{R}^{2}}}{n{{r}^{2}}}\]


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