Atomic Structure Question 381

Options:

A) $ \lambda =\frac{{\lambda_1}+{\lambda_2}}{{\lambda_1}{\lambda_2}} $

B) $ \lambda =\frac{{\lambda_1}{\lambda_2}}{{\lambda_1}+{\lambda_2}} $

C) $ \lambda =\frac{{\lambda_1}^{2}{\lambda_2}^{2}}{{\lambda_1}+{\lambda_2}} $

D) $ \lambda =\frac{{\lambda_1}{\lambda_2}}{{{({\lambda_1}+{\lambda_2})}^{2}}} $

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Answer:

Correct Answer: B

Solution:

  • $ E=E_1+E_2; $

$ \frac{hc}{\lambda }=\frac{hc}{{\lambda_1}}+\frac{hc}{{\lambda_2}} $
$ \Rightarrow \frac{hc}{\lambda }=hc( \frac{{\lambda_2}+{\lambda_1}}{{\lambda_1}{\lambda_2}} );\lambda =\frac{{\lambda_1}{\lambda_2}}{{\lambda_1}+{\lambda_2}} $



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