Two successive lines of the Lyman series of hydrogen have wavelengths (transition )…

CHEMISTRY · Subjective · CBSE · Chemistry · Structure of Atom · Structure of Atom

Problem

Two successive lines of the Lyman series of hydrogen have wavelengths

\lambda_2 = 121.6\,\text{nm}

(transition

n_i = 2 \rightarrow n_f = 1

) and

\lambda_3 = 102.6\,\text{nm}

(transition

n_i = 3 \rightarrow n_f = 1

). (a) Write expressions for the wavenumbers of these two lines in terms of the Rydberg constant

R_H

. (b) Using the given numerical data, evaluate an experimental value of

R_H

. (c) From your value of

R_H

, calculate the ionisation energy of the hydrogen atom in electron-volt.