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JEE Main & Advanced Physics Question Bank Oblique Projectile Motion

  • question_answer
    Two bodies are projected with the same velocity. If one is projected at an angle of \[{{30}^{o}}\] and the other at an angle of \[{{60}^{o}}\] to the horizontal, the ratio of the maximum heights reached is [AIIMS 2001; EAMCET (Med.) 1995; Pb. PMT 2000]

    A)             3 : 1    

    B)             1 : 3

    C)             1 : 2    

    D)             2 : 1

    Correct Answer: B

    Solution :

                    As\[H=\frac{{{u}^{2}}{{\sin }^{2}}\theta }{2g}\]\ \[\frac{{{H}_{1}}}{{{H}_{2}}}=\frac{{{\sin }^{2}}{{\theta }_{1}}}{\sin {{\theta }_{2}}}=\frac{{{\sin }^{2}}30{}^\circ }{{{\sin }^{2}}60}\]=\[\frac{1/4}{3/4}=\frac{1}{3}\]


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