Chapter 7, Problem 7.65P

Interpretation Introduction

Interpretation:

The wavelength $\left(\text{in nm and}\stackrel{\text{o}}{\text{A}}\right)$ and frequency $\left(\text{in Hz}\right)$ of the $1953{\text{ cm}}^{-1}$ radiation are to be determined.

Concept introduction:

Electromagnetic waves are radiations that are formed by oscillating electric and magnetic fields. The electric and magnetic field components of an electromagnetic wave are perpendicular to each other.

The formula to convert the wavenumber to wavelength is as follows:

$\lambda =\frac{1}{\text{wavenumber}}$ (1)

The equation to relate the frequency and wavelength of electromagnetic radiation is as follows:

$\nu =\frac{c}{\lambda }$ (2)

The conversion factor to convert wavelength from $\stackrel{\text{o}}{\text{A}}$ to $\text{m}$ is,

$1\stackrel{\text{o}}{\text{A}}=1\times {\text{10}}^{-10}\text{ m}$

The conversion factor to convert wavelength from $\text{nm}$ to $\text{m}$ is,

$1\text{ nm}=1\times {\text{10}}^{-9}\text{ m}$