Chapter 7.1, Problem 7.2BFP

(a)

Interpretation Introduction

Interpretation:

The energy of a photon of ultraviolet radiation with wavelength $1\times {10}^{-8}\text{ m}$ is 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.

Energy is proportional to the frequency and is expressed by the Plank-Einstein equation as follows:

$E=h\nu$ (1)

Here,

$E$ is the energy.

$h$ is the Plank’s constant.

$\nu$ is the frequency.

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

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

Here,

$c$ is the speed of light.

$\lambda$ is the wavelength.

Equation (1) can be modified as follows:

$E=h\left(\frac{c}{\lambda }\right)$ (3)

(b)

Interpretation Introduction

Interpretation:

The energy of a photon of visible light with wavelength $5\times {10}^{-7}\text{ m}$ is 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.

Energy is proportional to the frequency and is expressed by the Plank-Einstein equation as follows:

$E=h\nu$ (1)

Here,

$E$ is the energy.

$h$ is the Plank’s constant.

$\nu$ is the frequency.

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

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

Here,

$c$ is the speed of light.

$\lambda$ is the wavelength.

Equation (1) can be modified as follows:

$E=h\left(\frac{c}{\lambda }\right)$ (3)

(c)

Interpretation Introduction

Interpretation:

The energy of a photon of infrared light with wavelength $1\times {10}^{-4}\text{ m}$ is to be determined. Also, the relationship between energy and wavelength of the light is to be explained.

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.

Energy is proportional to the frequency and is expressed by the Plank-Einstein equation as follows:

$E=h\nu$ (1)

Here,

$E$ is the energy.

$h$ is the Plank’s constant.

$\nu$ is the frequency.

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

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

Here,

$c$ is the speed of light.

$\lambda$ is the wavelength.

Equation (1) can be modified as follows:

$E=h\left(\frac{c}{\lambda }\right)$ (3)