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CMC Medical CMC-Medical VELLORE Solved Paper-2011

  • question_answer
    The speed of projection of a projectile is increased by 10% without changing the angle of projection. The percentage increase in the range will be

    A)  10%                                      

    B)  20%

    C)  15%                                      

    D)  5%

    E)  25%

    Correct Answer: B

    Solution :

                    \[H=\frac{{{u}^{2}}{{\sin }^{2}}\theta }{2g}\] \[dH=\frac{2u{{\sin }^{2}}\theta }{2g}du\] \[\frac{dH}{H}=\frac{2du}{u}=2\times \frac{1}{10}\] \[\therefore \] increases in \[H=\frac{dH}{H}\times 100\]                                 \[=\frac{2}{10}\times 100=20%\]


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