An electron in a hydrogen atom makes a transition \( n_{1} \rightarrow n_{2} \), where \( n_{1} ...
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An electron in a hydrogen atom makes a transition \( n_{1} \rightarrow n_{2} \), where \( n_{1} \) and \( n_{2} \) are 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. What is the relation between \( n_{1} \) and \( n_{2} \) ?
(A) \( n_{1}=n_{2} \)
(B) \( 2 n_{1}=n_{2} \)
(C) \( n_{1}=2 n_{2} \)
(D) \( n_{1}=4 n_{2} \)
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