Chapter 7, Problem 7.17P

Interpretation Introduction

Interpretation:

The relation between $n_1$ in the Rydberg’s equation and quantum number $n$ in the Bohr model is to be determined.

Concept introduction:

The equation used to predict the position and wavelength of any line in a given series is called the Rydberg’s equation.

Rydberg’s equation is as follows:

$\frac{1}{\lambda }=R\left(\frac{1}{n_1^2}-\frac{1}{n_2^2}\right)$

Here,

$\lambda$ is the wavelength of the line.

$n_1$ and $n_2$ are positive integers, with ${\text{n}}_2>n_1$.

$R$ is the Rydberg’s constant.

The Bohr’s equation to determine the energy of an electron in a hydrogen atom is as follows:

$E_n=-2.18\times {10}^{-18}\text{ J}\left(\frac{Z^2}{n^2}\right)$