A. \({\lambda _{31}} = \frac{{{\lambda _{32}}{\lambda _{21}}}}{{{\lambda _{21}} - {\lambda _{32}}}}\).
B. \({\lambda _{31}} = {\lambda _{32}} - {\lambda _{21}}\).
C. \({\lambda _{31}} = {\lambda _{32}} + {\lambda _{21}}\).
D. \({\lambda _{31}} = \frac{{{\lambda _{32}}{\lambda _{21}}}}{{{\lambda _{21}} + {\lambda _{32}}}}\).
D
Ta có:
\(\begin{array}{l}
\left\{ \begin{array}{l}
\frac{{hc}}{{{\lambda _{21}}}} = {E_2} - {E_1}\\
\frac{{hc}}{{{\lambda _{32}}}} = {E_3} - {E_2}
\end{array} \right. \Rightarrow \frac{{hc}}{{{\lambda _{21}}}} + \frac{{hc}}{{{\lambda _{32}}}} = \underbrace {{E_3} - {E_1}}_{\frac{{hc}}{{{\lambda _{31}}}}}\\
\frac{{hc}}{{{\lambda _{21}}}} + \frac{{hc}}{{{\lambda _{32}}}} = \frac{{hc}}{{{\lambda _{31}}}} \Rightarrow \frac{{{\lambda _{32}}{\lambda _{21}}}}{{{\lambda _{21}} + {\lambda _{32}}}}
\end{array}\)
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