J & K CET Engineering J and K - CET Engineering Solved Paper-2010

  • question_answer
    The horizontal range of a projectile is \[\frac{4}{\sqrt{3}}\] times its maximum height. The angle of projection is

    A)  \[{{30}^{o}}\]            

    B)  \[{{60}^{o}}\]

    C)  \[{{45}^{o}}\]             

    D)  \[{{\tan }^{-1}}\,(2)\]

    Correct Answer: B

    Solution :

    Given, horizontal range  \[=\frac{4}{\sqrt{3}}\] (maximum height) \[\frac{{{u}^{2}}\,\sin \,\,2\alpha }{g}=\frac{4}{\sqrt{3}}.\,\frac{{{u}^{2}}\,{{\sin }^{2}}\,\alpha }{2g}\] \[\Rightarrow \] \[\frac{\sin \,2\alpha }{2\,{{\sin }^{2}}\,\alpha }=\frac{1}{\sqrt{3}}\] \[\Rightarrow \] \[\tan \,\alpha =\sqrt{3}\] \[\Rightarrow \] \[\alpha ={{60}^{o}}\]


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