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JEE Main & Advanced JEE Main Paper (Held On 10 April 2015)

  • 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 Main Online Paper (Held On 10 April 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 :

                     \[mvR=\frac{nh}{2\pi }\]                                             ?(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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