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KVPY Sample Paper KVPY Stream-SX Model Paper-6

  • question_answer
    A long cylindrical vessel is half filled with a liquid. When the vessel is rotated about its own vertical axis, the liquid rises up near the wall. If the radius of vessel is 5 cm and its rotational speed is 2 rotations per second, then the difference in the heights between the centre and the sides, in cm, will be:

    A) 2.0

    B) 0.1

    C)  0.4                              

    D) 1.2

    Correct Answer: A

    Solution :

    \[y=\frac{{{w}^{2}}{{x}^{2}}}{2g}=\frac{{{(2\times 2\pi )}^{2}}\times {{(0.05)}^{2}}}{2g}\] \[=25\times 8\times {{10}^{-4}}=2\,cm.\]                                 


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