Chapter 7, Problem 7.10P

(a)

Interpretation Introduction

Interpretation:

For electron in $1D$ box of length $\text{5nm}$, the spacing between the given levels has to be identified.

Concept Introduction:

The energy equation for $1D$ is as follows,

$\begin{array}{l}{E}_n=\frac{n^2{h}^2}{8m{L}^2}\\ here,h=Planck\text{'}scons\tan t\\ m=mass\\ L=\text{length}\\ n=1,2,3,\mathrm{..}\end{array}$

(b)

Interpretation Introduction

Interpretation:

The wavelength for radiation emitted during electron transition between the two given levels has to be calculated.

Concept Introduction:

$\text{E}\text{=}\text{hν}$

h is Planck’s constant ($\text{6}\text{.63}\text{×}{\text{10}}^{\text{-34}}\text{J}\text{.s}$ ) which relates energy and frequency.

$\text{ν}$ is the frequency

E is energy of light particle.