(a) Derive an expression for the shortest wavelength that can appear in the Brackett…

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

Problem

(a) Derive an expression for the shortest wavelength that can appear in the Brackett series (

n_1=4

) of a hydrogen-like ion of atomic number

Z

. (b) Using your expression, calculate this wavelength for ordinary hydrogen (

Z=1

). (c) Calculate the corresponding shortest wavelength for the singly-ionised helium atom (

\text{He}^+

). Take

R_H = 1.097\times10^{7}\,\text{m}^{-1}