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 and a proton enter a magnetic field perpendicularly. Both have same kinetic energy. Which of the following is true                                                         [MP PET 1999]

    A)            Trajectory of electron is less curved

    B)            Trajectory of proton is less curved

    C)            Both trajectories are equally curved

    D)            Both move on straight-line path

    Correct Answer: B

    Solution :

                       We have \[qvB=\frac{m{{v}^{2}}}{r}\] or \[r=\frac{mv}{qB}=\frac{\sqrt{2mK}}{qB}\] For same kinetic energy K, we have \[r\propto \sqrt{m}\] Hence path of proton will have larger r and is therefore less curved.


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