Chapter 6.4, Problem 1PPB

Interpretation Introduction

Interpretation:

The value of $n_i$ for an electron when it returns to the ground state in the H atom is to be determined with given wavelength.

Concept introduction:

The property of a wave, that is, the distance between two identical points between successive waves, is known as wavelength

The wavelength of the photon is calculated by using the following relation:

$\frac{1}{\lambda }=\frac{2.18\times {10}^{-18}\text{ J}}{\text{hc}}\left(\frac{1}{n_f^2}-\frac{1}{n_i^2}\right)$

Here, $\lambda$ is the wavelength, $\text{h}$

is Planck’s constant, c is the speed of light, $n_f$ is the final transition state, and $n_i$ is the initial transition state.

The relationship between meters and nanometres can be expressed as $1{\text{ m =10}}^9\text{ nm}$.

To convert nanometers to meters, the conversion factor is $\frac{1\text{ m}}{{10}^9\text{ nm}}$.