Chapter 3, Problem 3.16QP

(a)

Interpretation Introduction

Interpretation:

The frequency of light and the wavelength (in nanometers) of radiation 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 defined as the distance between the two similar points on consecutive waves.  The frequency is defined as the number of waves which move through any particular point in one second.

Figure.1

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

To find: Calculate the frequency of light having a wavelength of $\text{97 nm}$

(b)

Interpretation Introduction

Interpretation:

The frequency of light and the wavelength (in nanometers) of radiation 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 defined as the distance between the two similar points on consecutive waves.  The frequency is defined as the number of waves which move through any particular point in one second.

Figure.1

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

To find: Calculate the wavelength (in meters) of radiation having a frequency of $\text{9}{\text{.55 × 10}}^{\text{7}}\text{ Hz}$