KVPY Sample Paper KVPY Stream-SX Model Paper-17

  • question_answer
    The top of a water tank is open to air and its water level is maintained. It is giving out 0.74 \[{{m}^{3}}\] water per minute through a circular opening of 2 cm radius in its wall. The depth of the opening from the level of water in the tank is close to:

    A) 6.0 m

    B) 4.8 m

    C) 9.6 m

    D) 0.4 m

    Correct Answer: B

    Solution :

    \[\frac{dV}{dt}=Av\]
    \[\Rightarrow \]   \[\frac{dV}{dt}=A\sqrt{2gh}\]
    \[\Rightarrow \]   \[\frac{0.74}{60}=(3.14){{\left( \frac{2}{100} \right)}^{2}}\sqrt{2(9.8)h}\]
    \[\Rightarrow \]   \[h=4.92\text{ }m.\]


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