JCECE Medical JCECE Medical Solved Paper-2013

  • question_answer
    A body is projected with velocity \[{{\upsilon }_{1}}\]from the point A, another body at the same time is projected vertically upwards from B with velocity 1:2 as shown in adjoining figure. If the point B lies vertically below the highest point C, then for both bodies to collide the ratio \[\frac{{{\upsilon }_{2}}}{{{\upsilon }_{1}}}\] should be      

    A)  0.5

    B)  1

    C)  \[\frac{\sqrt{3}}{2}\]

    D)  \[\frac{2}{\sqrt{3}}\]

    Correct Answer: A

    Solution :

     The two bodies will collide at the highest point  if both cover the same vertical height in the same time. So, \[\frac{v_{1}^{2}{{\sin }^{2}}{{30}^{o}}}{2g}=\frac{v_{2}^{2}}{2g}\] or \[\frac{v_{2}^{2}}{v_{1}^{2}}={{\sin }^{2}}{{30}^{o}}\] \[\Rightarrow \] \[\frac{{{v}_{2}}}{{{v}_{1}}}=\sin {{30}^{o}}\] \[=\frac{1}{2}=0.5\]


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