Chapter 3.2, Problem 3.2.2SR

Interpretation Introduction

Interpretation:

The frequency of light with wavelength of $\text{126 nm}$ should be calculated using the relation between speed, wavelength and frequency of a wave.

Concept Introduction:

A wave is a disturbance or variation that travels through a medium transporting energy without transporting matter.  The wavelength is the distance between identical points on successive waves.  The frequency is the number of waves that pass through any particular point in 1 second.

Figure1

The speed, wavelength and frequency of a wave are related by the equation: $\text{c }=\text{ λν}$ where $\text{λ and ν}$ are expressed in meters ($\text{m}$) and reciprocal seconds (${\text{s}}^{-1}$) respectively.

Answer:

The frequency of light with wavelength of $\text{126 nm}$ is $\text{2}{\text{.38 × 10}}^{\text{15}}{\text{ s}}^{-\text{1}}$