Question

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.

• A. 910 Å, 1213 Å
• B. 5463 Å, 7858 Å
• C. 1315 Å, 1530 Å
• D. None of these

Answer 1

Answer: (A)

910 Å, 1213 Å

Answer 2

$\frac{1}{\lambda_{\max}\left\lbrack \frac{1}{(1)^{2}} - \frac{1}{(2)^{2}} \right\rbrack}$ ⇒ ${\lambda\frac{4}{3R}}_{\max}$

And $\frac{1}{\lambda_{\min}\left\lbrack \frac{1}{(1)^{2}} - \frac{1}{\infty} \right\rbrack}$ ⇒ ${\lambda\frac{1}{R}}_{\min}$