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  5. Fluid Mechanics, Surface Tension & Viscosity / द्रव यांत्रिकी, भूतल तनाव और चिपचिपापन

JEE Main & Advanced Physics Fluid Mechanics, Surface Tension & Viscosity / द्रव यांत्रिकी, भूतल तनाव और चिपचिपापन JEE PYQ-Fluid Mechanics, Surface Tension and Viscosity

  • 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 10-Jan-2019 Morning]

    A)  2.9 cm

    B)       5.1 cm

    C)  4 cm   

    D)       1.7 cm

    Correct Answer: B

    Solution :

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


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