AFMC AFMC Solved Paper-2010

  • question_answer
    A deutron of kinetic energy 50 keV is describing a circular orbit of radius 0.5 m, in a plane perpendicular to magnetic field B. The kinetic energy of a proton that describes circular orbit of radius 0.5 m in the same plane with the same magnetic field is

    A) 200 keV                               

    B) 50 keV

    C) 100 keV                               

    D) 25 keV

    Correct Answer: C

    Solution :

    In this case magnetic force provides necessary     centripetal force ie, \[qvB=\frac{m{{v}^{2}}}{T}\] Radius of path \[r=\frac{mv}{Bq}=\frac{\sqrt{2mE}}{qB}\] \[r=\frac{\sqrt{2mE}}{Bq}=\frac{\sqrt{2{{m}_{1}}{{E}_{1}}}}{Bq}\]or    \[{{E}_{1}}=\frac{mE}{{{m}_{1}}}=\frac{(2{{m}_{1}})}{{{m}_{1}}}\times 50\,\text{keV}\,\] \[[\because \,m=2{{m}_{1}}]\]\[=100\,\text{keV}\]


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