JEE Main & Advanced AIEEE Solved Paper-2011

  • question_answer
    A water fountain on the ground sprinkles water all around it. If the speed of water coming out of the fountain is v, the total area around the  fountain that gets wet is   AIEEE  Solved  Paper-2011

    A) \[\pi \frac{{{v}^{2}}}{{{g}^{2}}}\]                                 

    B) \[\pi \frac{{{v}^{2}}}{g}\]

    C) \[\pi \frac{{{v}^{4}}}{{{g}^{2}}}\]                                 

    D) \[\frac{\pi }{2}\frac{{{v}^{4}}}{{{g}^{2}}}\]

    Correct Answer: C

    Solution :

                              Area \[=\pi {{R}^{2}}_{\max }\] \[{{R}_{\max }}=\frac{{{v}^{2}}\sin {{90}^{o}}}{g}=\frac{{{v}^{2}}}{g}\] \[\Rightarrow \] Area \[=\frac{\pi {{v}^{4}}}{{{g}^{2}}}\]


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