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NEET Sample Paper NEET Sample Test Paper-87

  • question_answer
    A large tank filled with water to a height 'h' is to be emptied through a small hole at the bottom. The ratio of time taken for the level of water to fall from h to \[\frac{h}{2}\] and \[\frac{h}{2}\] zero is

    A) \[\sqrt{2}\]                    

    B)        \[\frac{1}{\sqrt{2}}\]

    C) \[\sqrt{2}-1\]     

    D)        \[\frac{1}{\sqrt{2}-1}\]

    Correct Answer: C

    Solution :

    [c]         \[t=k(\sqrt{{{h}_{1}}}-\sqrt{{{h}_{2}}})\] \[{{t}_{1}}=k(\sqrt{h}-\sqrt{h/2})\] and       \[{{t}_{2}}=k(\sqrt{h/2}-0)\] \[\therefore \]      \[\frac{{{t}_{1}}}{{{t}_{2}}}=\sqrt{2}-1\] 


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