JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2009

  • 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)  10cm                                   

    B)  \[10\sqrt{2}cm\]

    C)  20cm                                   

    D)  \[5\sqrt{2}cm\]

    Correct Answer: D

    Solution :

                    \[r=\frac{1}{B}\sqrt{\frac{2mv}{2}}\] \[\frac{{{r}_{\alpha }}}{{{\gamma }_{p}}}=\sqrt{\frac{{{m}_{\alpha }}}{{{m}_{p}}}}\sqrt{\frac{{{q}_{p}}}{{{q}_{\alpha }}}}\] \[\therefore \]  \[\frac{{{r}_{\alpha }}}{10}=\sqrt{\frac{4}{2}}\]                 \[{{r}_{2}}=10\sqrt{2}\,cm\]


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