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12th Class Physics Magnetism Question Bank MCQ - Moving Charges and Magnetism

  • question_answer
    Two \[\alpha \]-particles have the ratio of their velocities as 3 : 2 on entering the magnetic field. If they move in different circular paths, then the ratio of the radii of their paths is:

    A) 2 : 3                 

    B) 3 : 2   

    C) 9 : 4                             

    D) 4 : 9         

    Correct Answer: B

    Solution :

    (b) 3 : 2 As         \[qvB=\frac{m{{v}^{2}}}{r}\] \[\therefore r=\frac{mv}{qB}\Rightarrow r\propto v\] or \[\frac{{{r}_{A}}}{{{r}_{B}}}=\frac{{{v}_{A}}}{{{v}_{B}}}=\frac{3}{2}\]


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