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  • The energy of electron in the nth orbit of hydrogen atom is expressed as . T

The energy of electron in the nth orbit of hydrogen atom is expressed as E_{n}=\frac{-13.6}{n^{2}}eV. The shortest and longest wavelength of Lyman series will be

 

Option: 1

910 A, 1213 A. 


Option: 2

5463 A, 7858 A.


Option: 3

1315 A, 1530 A.


Option: 4

None of these


Answers (1)

best_answer

\begin{aligned} & \text { (a) } \frac{1}{\lambda_{\max }}=\mathrm{R}\left[\frac{1}{(1)^2}-\frac{1}{(2)^2}\right] \Rightarrow \lambda_{\max }=\frac{4}{3 \mathrm{R}} \approx 1213 \mathrm{~A} \text {. } \\ & \text { and } \frac{1}{\lambda_{\min }}=\mathrm{R}\left[\frac{1}{(1)^2}-\frac{1}{\infty}\right] \Rightarrow \lambda_{\min }=\frac{1}{\mathrm{R}} \approx 910 \mathrm{~A} . \end{aligned}

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Ajit Kumar Dubey

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