The electron in a hydrogen atom makes a transition \( \mathrm{n}_{1...

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The electron in a hydrogen atom makes a transition \( \mathrm{n}_{1} \rightarrow \mathrm{n}_{2} \) whose \( \mathrm{n}_{1} \) and \( \mathrm{n}_{2} \) are the principal quantum numbers of the two states. Assume the Bohr model to be valid. The frequency of orbital motion of the
\( \mathrm{P} \) electron in the initial state is \( 1 / 27 \) of that in the final state. The possible values of \( n_{1} \) and \( n_{2} \) are
(A) \( \mathrm{n}_{1}=4, \mathrm{n}_{2}=2 \)
(B) \( \mathrm{n}_{1}=3, \mathrm{n}_{2}=1 \)
(C) \( \mathrm{n}_{1}=8, \mathrm{n}_{2}=1 \)
(D) \( \mathrm{n}_{1}=6, \mathrm{n}_{2}=3 \)
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