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

  • question_answer
    An electron of mass m and charge q is travelling with a speed v along a circular path of radius r at right angles to a uniform of magnetic field B. If speed of the electron is doubled and the magnetic field is halved, then resulting path would have a radius of    [Kerala PMT 2004; KCET 2000, 05]

    A)            \[\frac{r}{4}\]                      

    B)            \[\frac{r}{2}\]

    C)            \[2r\]                                       

    D)            \[4r\]

    Correct Answer: D

    Solution :

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


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