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

  • question_answer
    If the angles of projection of a projectile with same initial velocity exceed or fall short of \[45{}^\circ \] by equal amounts , then the ratio of horizontal ranges is

    A) \[1\text{ }:\text{ }2\]     

    B)        \[1\text{ }:\text{ }3~\]

    C) \[1\text{ }:\text{ }4\]     

    D)        \[1\text{ }:\text{ }1\]

    Correct Answer: D

    Solution :

    [d] For complementary angles of projection \[(45{}^\circ +\alpha )\] and \[(45{}^\circ -\alpha )\] with same initial velocity u, range R is same. \[{{\theta }_{1}}+{{\theta }_{2}}=\left( 45{}^\circ +\alpha  \right)+\left( 45{}^\circ -\alpha  \right)=90{}^\circ \]


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