Chapter 7, Problem 49E

Interpretation Introduction

Interpretation:

The transitions in the hydrogen atom are to be assigned for the given wavelengths of an atomic emission spectrum in the hydrogen atom.

Concept introduction: The mathematical formula that is used to identify the wavelength of light which results from the transition of electron between the different energy levels of an atom is termed as Rydberg formula. This formula is as follows:

  $\frac{1}{\lambda }=R\left(\frac{1}{n_{\text{final}}{}^2}-\frac{1}{n_{\text{initial}}{}^2}\right)$

The value of Rydberg’s constant $\left(R\right)$ is $1.097\times {10}^7{\text{m}}^{-1}$ .

To determine: The transitions in the hydrogen atom for the given wavelengths of an atomic emission spectrum in the hydrogen atom.