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CMC Medical CMC-Medical VELLORE Solved Paper-2008

  • question_answer
    A gun fires bullets each of mass 1 g with velocity of 10\[m{{s}^{-1}}\]by exerting a constant force of 5 g weight. Then the number of bullets fired per second is (Take g = 10\[m{{s}^{-1}}\])

    A)  50                                         

    B)  5

    C)  10                                         

    D)  25

    E)  15

    Correct Answer: B

    Solution :

                    Mass of each bullet (m) \[=1\,g=0.001\,\,kg\] Velocity of bullet (v) \[=10\,\,m{{s}^{-1}}\] Applied force (F) \[=5g\text{-}wt\]. \[=\frac{5}{1000}\times 10N\] \[=0.05\,N\] Let n bullets are fired per second, then Force = rate of change of linear momentum ie,           \[F=n\times mv\] \[\therefore \] Number of bullets fired per second \[n=\frac{F}{mv}\]    \[=\frac{0.05}{0.001\times 10}\]    \[=5\]


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