A) \[{{\lambda }_{3}}={{\lambda }_{1}}+{{\lambda }_{2}}\]
B) \[{{\lambda }_{3}}=\frac{{{\lambda }_{1}}{{\lambda }_{2}}}{{{\lambda }_{1}}+{{\lambda }_{2}}}\]
C) \[{{\lambda }_{1}}+{{\lambda }_{2}}+{{\lambda }_{3}}=0\]
D) \[\lambda _{3}^{2}=\lambda _{1}^{2}+\lambda _{2}^{2}\]
Correct Answer: B
Solution :
From the energy level diagram as shown below: |
\[\frac{1}{{{\lambda }_{3}}}=\frac{1}{{{\lambda }_{1}}}+\frac{1}{{{\lambda }_{2}}}\] |
\[=\frac{{{\lambda }_{2}}+{{\lambda }_{1}}}{{{\lambda }_{1}}{{\lambda }_{2}}}\] |
\[\Rightarrow \] \[{{\lambda }_{3}}=\frac{{{\lambda }_{1}}{{\lambda }_{2}}}{{{\lambda }_{1}}+{{\lambda }_{2}}}\] |
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