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

  • question_answer
    Two particles A and B of masses \[{{m}_{A}}\] and \[{{m}_{B}}\] respectively and having the same charge are moving in a plane. A uniform magnetic field exists perpendicular to this plane. The speeds of the particles are \[{{v}_{A}}\] and \[{{v}_{B}}\] respectively, and the trajectories are as shown in the figure. Then   [IIT-JEE (Screening) 2001]

    A)            \[{{m}_{A}}{{v}_{A}}<{{m}_{B}}{{v}_{B}}\]

    B)            \[{{m}_{A}}{{v}_{A}}>{{m}_{B}}{{v}_{B}}\]

    C)            \[{{m}_{A}}<{{m}_{B}}\,\,\text{and}\,\,{{v}_{A}}<{{v}_{B}}\]

    D)            \[{{m}_{A}}=\,{{m}_{B}}\,\text{and }{{v}_{A}}={{v}_{B}}\]

    Correct Answer: B

    Solution :

                       \[r=\frac{mv}{qB}\Rightarrow r\propto mv\] (q and B are constant)            \[\because \ {{r}_{A}}>{{r}_{B}}\Rightarrow {{m}_{A}}{{v}_{A}}>{{m}_{B}}{{v}_{B}}\]


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