AFMC AFMC Solved Paper-2011

  • question_answer
    A proton and an \[\alpha \]-particle, accelerated through the same potential difference, enter a region of uniform magnetic field normally. If the radius of the proton orbit is 10 cm, the radius of \[\alpha \]-orbit is

    A) 10 cm                                   

    B) 10\[\sqrt{2}\] cm

    C) 20 cm                                   

    D) 5\[\sqrt{2}\] cm

    Correct Answer: B

    Solution :

    \[r=\frac{1}{B}\sqrt{\frac{2mV}{q}}\] \[\frac{{{r}_{\alpha }}}{{{\gamma }_{p}}}=\sqrt{\frac{{{m}_{\alpha }}}{{{m}_{p}}}}\sqrt{\frac{{{q}_{p}}}{{{q}_{\alpha }}}}\] \[\therefore \] \[{{r}_{\alpha }}=10\sqrt{2}\,cm\]


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