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JEE Main & Advanced Physics Two Dimensional Motion Question Bank Self Evaluation Test - Motion in a Plane

  • question_answer
    Two balls are projected at an angle \[\theta \] and \[(90{}^\circ -\theta )\] to the horizontal with the same speed. The ratio of their maximum vertical heights is B Tricky

    A) 1:1                   

    B)        \[\text{tan}\theta :1\]

    C) \[1:\text{tan}\theta \]    

    D)        \[\text{ta}{{\text{n}}^{2}}\theta :1\]

    Correct Answer: D

    Solution :

    [d] \[\frac{{{\text{H}}_{\text{1}}}}{{{\text{H}}_{\text{2}}}}\text{=}\frac{{{\text{u}}^{2}}{{\sin }^{2}}\theta /\text{2g}}{{{\text{u}}^{2}}{{\sin }^{2}}\left( 90{}^\circ -\theta  \right)/2\text{g}}={{\tan }^{2}}\theta \]


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