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

  • question_answer
    A projectile is thrown at an angle of \[40{}^\circ \] with the horizontal and its range is \[{{R}_{1}}\]. Another projectile is thrown at an angle \[40{}^\circ \] with the vertical and its range is \[{{R}_{2}}\]. What is the relation between \[{{R}_{1}}\] and \[{{R}_{2}}\]?

    A) \[{{R}_{1}}={{R}_{2}}\]        

    B)        \[{{R}_{1}}=2{{R}_{2}}\]

    C) \[2{{R}_{1}}={{R}_{2}}\]       

    D)        \[{{R}_{1}}=4{{R}_{2}}/5\]

    Correct Answer: A

    Solution :

    [a] R is same for both \[\theta \] and \[(90{}^\circ -\theta ).\] If angle w.r.t. Vertical is \[40{}^\circ \] then w.r.t horizontal direction it will be \[90{}^\circ -40{}^\circ =50{}^\circ \].


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