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JEE Main & Advanced Physics Atomic Physics Question Bank Atomic Structure

  • question_answer
    The electron in a hydrogen atom makes a transition\[{{n}_{1}}\to {{n}_{2}}\], where \[{{n}_{1}}\] and \[{{n}_{2}}\] are the principal quantum numbers of the two states. Assume the Bohr model to be valid. The time period of the electron in the initial state is eight times that in the final state. The possible values of n1 and n2 are                                         [IIT 1998; KCET 2005]

    A)            \[{{n}_{1}}=4,\ {{n}_{2}}=2\] 

    B)            \[{{n}_{1}}=8,\ {{n}_{2}}=2\]

    C)            \[{{n}_{1}}=8,\ {{n}_{2}}=1\] 

    D)            \[{{n}_{1}}=6,\ {{n}_{2}}=3\]

    Correct Answer: D

    Solution :

     \[T\propto {{n}^{3}}\]. Given \[{{T}_{{{n}_{1}}}}=8\,{{T}_{{{n}_{2}}}}\], hence \[{{n}_{1}}=2{{n}_{2}}\]            Therefore, option (a) and (d) both are correct.


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