JEE Main & Advanced Physics Magnetic Effects of Current / करंट का चुंबकीय प्रभाव Question Bank Motion of Charged Particle In Magnetic Field

  • question_answer
    Two ions having masses in the ratio 1 : 1 and charges 1 : 2 are projected into uniform magnetic field perpendicular to the field with speeds in the ratio 2 : 3. The ratio of the radii of circular paths along which the two particles move is [EAMCET 2003]

    A)            4 : 3                                          

    B)            2 : 3

    C)            3 : 1                                          

    D)            1 : 4

    Correct Answer: A

    Solution :

               \[r=\frac{mv}{qB}\Rightarrow \frac{{{r}_{1}}}{{{r}_{2}}}=\frac{{{m}_{1}}{{v}_{1}}}{{{m}_{2}}{{v}_{2}}}\times \frac{{{q}_{2}}}{{{q}_{1}}}=\frac{1\times 2}{1\times 3}\times \frac{2}{1}=\frac{4}{3}\]


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