Uttarakhand PMT Uttarakhand PMT Solved Paper-2010

  • question_answer
    A proton and an a-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, then radius of a-orbit is

    A)  10cm          

    B)  \[10\sqrt{2}\]cm

    C)  20cm          

    D)  \[5\sqrt{2}\] cm

    Correct Answer: B

    Solution :

     Radius of path, \[r=\frac{1}{B}\sqrt{\frac{2mV}{q}}\] \[\therefore \] \[\frac{{{r}_{\alpha }}}{{{r}_{p}}}=\sqrt{\frac{{{m}_{\alpha }}}{{{m}_{p}}}}\sqrt{\frac{{{q}_{p}}}{{{q}_{\alpha }}}}\] \[\therefore \] \[\frac{{{r}_{\alpha }}}{10}=\sqrt{\frac{4}{2}}\] \[{{r}_{\alpha }}=10\sqrt{2}cm\]


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