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NEET Sample Paper NEET Sample Test Paper-55

  • question_answer
    Two balls are projected from the same point in direction inclined at \[60{}^\circ \] and \[30{}^\circ \] to the horizontal. If they attain the same maximum height, what is the ratio of their velocities of projection?

    A) \[1\,\,:\,\,\sqrt{3}\]                     

    B) \[\sqrt{3}\,\,:\,\,1\,\,\]

    C) \[1\,\,:\,\,1\,\,\]               

    D) \[1\,\,:\,\,2\,\,\]

    Correct Answer: A

    Solution :

    \[{{H}_{1}}={{H}_{2}}\] \[H=\frac{{{u}^{2}}{{\sin }^{2}}\,\theta }{2g}\] \[u\propto \frac{1}{\sin \,\theta }\] \[\frac{{{u}_{1}}}{{{u}_{2}}}=\frac{\sin \,{{\theta }_{2}}}{\sin \,{{\theta }_{1}}}\,\,\Rightarrow \,\,\frac{\sin \,30}{\sin \,60}\,\,=\,\,(1\,\,:\,\,\sqrt{3})\]


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