Haryana PMT Haryana PMT Solved Paper-2003

  • question_answer
    An object is thrown along a direction making an angle 45° with the horizontal direction. The horizontal range of the object is equal to :

    A)  twice the vertical height

    B)  vertical height

    C)  four times the vertical height

    D)  three times of vertical height

    Correct Answer: C

    Solution :

                    \[R=\frac{{{u}^{2}}{{\sin }^{2}}{{90}^{o}}}{g}=\frac{{{u}^{2}}}{g}\]              ??.(1) and        \[H=\frac{{{u}^{2}}{{\sin }^{2}}{{45}^{o}}}{2g}=\frac{{{u}^{2}}}{4g}\]         ??..(2) Dividing Eq. (1) by Eq. (2),                 \[\frac{R}{H}=4\]  or \[R=4H\]


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