Chapter 1, Problem 1A.14E

(a)

Interpretation Introduction

Interpretation:

The wavelength of radiation generated by the transition from $n=3ton=1$ has to be calculated.

Concept Introduction:

The relationship between wavelength, frequency and speed of light is given below.

  $\lambda \times \nu =c$

Where, $\lambda$ is the wavelength, $\nu$ is the frequency of radiation and $c$ is the speed of light.

Rydberg equation:

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

R is the Rydberg constant.  Its value is $3.29\times {10}^{15}Hz.$

(b)

Interpretation Introduction

Interpretation:

The name given to the spectroscopic series to which the transition belongs has to be written.

Concept Introduction:

Lyman series:

This series is a set of lines in the UV region of the spectrum with $n_1=1and{n}_2=2,3,\mathrm{....}$

Balmer series:

This series is a set of lines with $n_1=2and{n}_2=3,4,\mathrm{....}$

(c)

Interpretation Introduction

Interpretation:

The region of the spectrum in which the transition takes place has to be identified.

Concept Introduction:

The wavelengths of electromagnetic radiation and their corresponding frequencies are given below in the table.

Radiation type	Frequency / $\left({10}^{14}Hz\right)$	Wavelength / $\left(nm\right)$
x-rays and $\gamma$- rays	$\ge {10}^3$	$\le 3$
Ultraviolet	$8.6$	$350$
Violet	$7.1$	$420$
Blue	$6.4$	$470$
Green	$5.7$	$530$
Yellow	$5.2$	$580$
Orange	$4.8$	$620$
Red	$4.3$	$700$
Infrared	$3.0$	$1000$
Microwaves and radio waves	$\le {10}^{-3}$	$\ge 3\times {10}^6$