Chapter 1, Problem 1A.17E

Interpretation Introduction

Interpretation:

The wavelength of the transition from $n=2ton=1inH{e}^{+}$ has to be predicted.

Concept Introduction:

Rydberg equation:

  $\begin{array}{l}\nu =R\left\{\frac{1}{n_1{}^2}-\frac{1}{n_2{}^2}\right\}\\ \\ h\nu =hR\left\{\frac{1}{n_1{}^2}-\frac{1}{n_2{}^2}\right\}\\ \\ E=hR\left\{\frac{1}{n_1{}^2}-\frac{1}{n_2{}^2}\right\}\\ \\ Where,n_1=1,2,\mathrm{....},n_2=n_1+1,n_1+2,\mathrm{....}\end{array}$

R is the Rydberg constant.  Its value is $3.29\times {10}^{15}Hz$ and h is Planck’s constant.