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NEET Sample Paper NEET Sample Test Paper-2

  • question_answer
    A cylindrical vessel contains a liquid of density P up to a height. The liquid is closed by a piston of mass m and area of cross-section A. There is a small hole at the bottom of the vessel. The speed V with which the liquid comes out of the hole is (neglect presence of atmosphere):

    A) \[\sqrt{2gh}\]

    B) \[\sqrt{2\left( gh+\frac{mg}{P\,A} \right)}\]

    C) \[\sqrt{2\left( gh+\frac{mg}{A} \right)}\]

    D) \[\sqrt{\left( 2gh+\frac{mg}{A} \right)}\]

    Correct Answer: B

    Solution :

    Applying Bernoulli's theorem at 1 and 2 \[pgh+\frac{mg}{A}=\frac{1}{2}p{{\upsilon }^{2}}\] Neglect presence of atmosphere or, \[\upsilon =\sqrt{2\left( gh+\frac{mg}{{{P}_{A}}} \right)}\]


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