MGIMS WARDHA MGIMS WARDHA Solved Paper-2006

  • question_answer
    In a cyclotron, if a deuteron can gain an                 energy of 40 MeV, then a proton can gain an energy of:

    A) 40 MeV                               

    B) 80 MeV

    C) 20 MeV                               

    D) 60 MeV

    Correct Answer: B

    Solution :

    Maximum energy in cyclotron. \[E=\frac{1}{2}\frac{{{B}^{2}}{{q}^{2}}{{R}^{2}}}{m}\] where, \[R=\]radius of does of cyclotron. Here      \[\frac{{{E}_{d}}}{{{E}_{p}}}={{\left( \frac{{{q}_{d}}}{{{q}_{p}}} \right)}^{2}}.\left( \frac{{{m}_{p}}}{{{m}_{d}}} \right)\]                 \[\frac{40}{{{E}_{p}}}={{\left( \frac{q}{q} \right)}^{2}}.\left( \frac{m}{2m} \right)\]                 \[{{E}_{p}}=80\,MeV\]


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