Solveeit Logo

Question

Question: The ratio of the largest to shortest wavelengths in Lyman series of hydrogen spectra is....

The ratio of the largest to shortest wavelengths in Lyman series of hydrogen spectra is.

A

259\frac{25}{9}

B

176\frac{17}{6}

C

95\frac{9}{5}

D

43\frac{4}{3}

Answer

43\frac{4}{3}

Explanation

Solution

For Lyman series

1λmax[112122]34\frac{1}{\lambda_{\max}\left\lbrack \frac{1}{1^{2}} - \frac{1}{2^{2}} \right\rbrack\frac{3}{4}} and

1λmin[11212]R1λmaxλmin=43\frac{1}{\lambda_{\min}\left\lbrack \frac{1}{1^{2}} - \frac{1}{\infty^{2}} \right\rbrack\frac{R}{1}\frac{\lambda_{\max}}{\lambda_{\min} = \frac{4}{3}}}.