JEE Main & Advanced Physics Magnetic Effects of Current / करंट का चुंबकीय प्रभाव JEE PYQ-Magnetic Effects Of Current

  • question_answer
    If one were to apply Bohr model to a particle of mass 'm' and charge 'q' moving in a plane under the influence of a magnetic field 'B', the energy of the charged particle in the nth  level will be:                        [JEE ONLINE 10-04-2015]

    A) \[n\left( \frac{hqB}{2\pi m} \right)\]

    B) \[n\left( \frac{hqB}{8\pi m} \right)\]

    C) \[n\left( \frac{hqB}{4\pi m} \right)\]

    D) \[n\left( \frac{hqB}{\pi m} \right)\]

    Correct Answer: C

    Solution :

    [c] \[mvR=\frac{nh}{2\pi }\]                               …(i)
    and \[qvB=\frac{m{{v}^{2}}}{R}\]so \[qB=\frac{mv}{R}\]      …(ii)
    \[qB\left( \frac{nh}{2\pi mv} \right)=mv\]             \[m{{v}^{2}}=\frac{qBnh}{2\pi m}.\]
    \[\frac{1}{2}m{{v}^{2}}=\frac{1}{4\pi m}nhqB\]        
    \[E=n\left( \frac{hqB}{4\pi m} \right)\]


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