Chapter 9, Problem 9.13P

Interpretation Introduction

Interpretation:

Select the wave which has longest wavelength and also select the wavelength which has highest energy.

1. Infrared b) ultraviolet or c) X-ray.

Concept Introduction:

The wavelengths of different radiations in electromagnetic spectrum are:

1. Gamma radiation: ${\text{<10}}^{\text{-9}}\text{m}$
2. X-ray radiation: ${\text{10}}^{\text{-9}}{\text{m to10}}^{\text{-8}}\text{m}$
3. Ultraviolet radiation: ${\text{10}}^{\text{-8}}\text{m to 4 }\times {\text{ 10}}^{-7}\text{m}$
4. Visible radiation: $\text{4 }\times {\text{ 10}}^{-7}\text{m to 8 }\times {\text{ 10}}^{-7}\text{m}$
5. Infrared radiation: $\text{8 }\times {\text{ 10}}^{-7}{\text{m to 10}}^{-4}\text{m}$
6. Microwave radiation: ${\text{10}}^{-4}{\text{m to 10}}^{-1}\text{m}$
7. Radio waves: $>{\text{10}}^{-1}\text{m}$

Also, the wavelength is inversely proportional to energy of a wave.

$\text{E = }\frac{\text{hc}}{\text{λ}}$.