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JEE Main & Advanced JEE Main Paper (Held On 10-Jan-2019 Morning)

  • question_answer
    Water flows into a large tank with flat bottom at the rate of\[{{10}^{-}}^{4}{{m}^{3}}{{s}^{-1}}\]. Water is also leaking out of a hole of area \[1\,c{{m}^{2}}\] at its bottom. If the height of the water in the tank remains steady, then this height is [JEE Main Online Paper (Held On 10-Jan-2019 Morning]

    A) 2.9 cm                         

    B) 5.1 cm

    C) 4 cm                

    D)   1.7 cm

    Correct Answer: B

    Solution :

    \[{{10}^{-}}^{4}=Ay\] \[{{10}^{-4}}={{10}^{-4}}\,\times \,\,\sqrt{2gh}\] \[h=\frac{1}{2g}\,=\,\frac{100}{2\times 9.8}\,=\,5.1\,cm\,\]


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