Manipal Medical Manipal Medical Solved Paper-2007

  • question_answer
    A bullet of mass 2g is having a charge of\[2\mu C\]. Through what potential difference must it be accelerated, starting from rest, to acquire a speed of 10 m/s?

    A)  5kV

    B)  50 kV

    C)  5V

    D)  50V

    Correct Answer: B

    Solution :

     Key Idea: When bullet of mass m and charge q is accelerated through potential difference of V volt, then it attains a kinetic energy equal to\[qV\]. Kinetic energy of bullet \[=qV\] ie,     \[\frac{1}{2}m{{v}^{2}}=qV\] \[\Rightarrow \] \[V=\frac{m{{v}^{2}}}{2q}\] Given, \[m=2g=2\times {{10}^{-3}}kg,v=10m/s,\] \[q=2\mu C=2\times {{10}^{-6}}C\] Substituting the values in relation for V, we obtain \[V=\frac{2\times {{10}^{-3}}\times {{(10)}^{2}}}{2\times 2\times {{10}^{-6}}}\] \[=50\times {{10}^{3}}V=50kV\]


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