Chapter 5, Problem 5Q

(a)

To determine

Whether the wavelength of $2.6\text{ μm}$ lies in the visible, microwave, gamma-ray, infrared, radio, ultraviolet or x-ray region of the electromagnetic spectrum.

Answer to Problem 5Q

Solution:

Infrared radiation

Explanation of Solution

Introduction:

The different regions of the electromagnetic spectrum have been grouped on the basis of their radiation qualities. The radiations are categorized under following name and their corresponding wavelengths are shown in following figure.

Explanation:

Consider the wavelength of $2.6\text{ μm}$ provided in the problem statement.

The range of infrared radiation wavelength is $1\text{ μm to 10 mm}$. The wavelength of $2.6\text{ μm}$ lies in the infrared radiation region of the electromagnetic spectrum.

Conclusion:

The radiation wavelength mentioned in the problem statement, lies in the infrared region of the electromagnetic spectrum.

(b)

To determine

Whether the wavelength of $34\text{ m}$ lies in the visible, microwave, gamma-ray, infrared, radio, ultraviolet, or x-ray portion of the electromagnetic spectrum.

Answer to Problem 5Q

Solution:

Radio Wave

Explanation of Solution

Introduction:

The different regions of the electromagnetic spectrum have been grouped on the basis of their radiation qualities. The radiations are categorized under following name and their corresponding wavelengths are shown in following figure.

Explanation:

Consider the wavelength of $34\text{ m}$ provided in the problem statement.

The wavelength of radio wave radiation is greater than 10 cm. Thus, the wavelength of $34\text{ m}$ lies in the infrared radio wave region of the electromagnetic spectrum.

Conclusion:

The radiation wavelength mentioned in the problem statement, lies in the radio wave region of the electromagnetic spectrum.

(c)

To determine

Whether the wavelength of $0.54\text{ nm}$ lies in the visible, microwave, gamma-ray, infrared, radio, ultraviolet, or x-ray portion of the electromagnetic spectrum.

Answer to Problem 5Q

Solution:

X-Ray

Explanation of Solution

Introduction:

The different regions of the electromagnetic spectrum have been grouped on the basis of their radiation qualities. The radiations are categorized under following name and their corresponding wavelengths are shown in following figure.

Explanation:

Consider the wavelength of $0.54\text{ nm}$ provided in the problem statement.

The range of wavelength X Ray radiation is in between ${10}^{-2}\text{ nm and }10\text{ nm}$. The wavelength of $0.54\text{ nm}$ lies in the X Ray region of the electromagnetic spectrum.

Conclusion:

The radiation wavelength mentioned in the problem statement, lies in the X ray region of the electromagnetic spectrum.

(d)

To determine

Whether the wavelength of $0.0032\text{ nm}$ lies in the visible, microwave, gamma-ray, infrared, radio, ultraviolet, or x-ray portion of the electromagnetic spectrum.

Answer to Problem 5Q

Solution:

Gamma-radiation

Explanation of Solution

Introduction:

The different regions of the electromagnetic spectrum have been grouped on the basis of their radiation qualities. The radiations are categorized under following name and their corresponding wavelengths are shown in following figure.

Explanation:

Consider the wavelength of $0.0032\text{ nm}$ provided in the problem statement.

The wavelength of gamma ray radiation is less than ${10}^{-2}\text{ nm}$. The wavelength of $0.0032\text{ nm}$ lies in the gamma ray region of the electromagnetic spectrum.

Conclusion:

The radiation wavelength mentioned in the problem statement, lies in the gamma ray region of the electromagnetic spectrum.

(e)

To determine

Whether the wavelength of $0.620\text{ mm}$ lies in the visible, microwave, gamma-ray, infrared, radio, ultraviolet, or x-ray portion of the electromagnetic spectrum.

Answer to Problem 5Q

Solution:

Infrared

Explanation of Solution

Introduction:

The different regions of the electromagnetic spectrum have been grouped on the basis of their radiation qualities. The radiations are categorized under following name and their corresponding wavelengths are shown in following figure.

Explanation:

Consider the wavelength of $0.620\text{ mm}$ provided in the problem statement.

The range of the infrared radiation is in between $1\text{ mm and 1 μm}$. Therefore, the wavelength of $0.620\text{ mm}$ provided in the problem statement lies in the infrared region of the electromagnetic spectrum.

Conclusion:

The radiation wavelength mentioned in the problem statement, lies in the infrared region of the electromagnetic spectrum.

(f)

To determine

Whether the wavelength of $310\text{ nm}$ lies in the visible, microwave, gamma-ray, infrared, radio, ultraviolet, or x-ray portion of the electromagnetic spectrum.

Answer to Problem 5Q

Solution:

Ultraviolet radiation

Explanation of Solution

Introduction:

The different regions of the electromagnetic spectrum have been grouped on the basis of their radiation qualities. The radiations are categorized under following name and their corresponding wavelengths are shown in following figure.

Explanation:

Consider the wavelength of $310\text{ nm}$ provided in the problem statement.

The range of the ultraviolet radiation is in between $100\text{ nm and 10 nm}$. The wavelength of $310\text{ nm}$ provided in the problem statement lies in the ultraviolet region of the electromagnetic spectrum.

Conclusion:

The radiation wavelength mentioned in the problem statement, lies in the ultravoilet region of the electromagnetic spectrum.

(g)

To determine

Whether the wavelength of $0.012\text{ m}$ lies in the visible, microwave, gamma-ray, infrared, radio, ultraviolet, or x-ray portion of the electromagnetic spectrum.

Answer to Problem 5Q

Solution:

Radio wave

Explanation of Solution

Introduction:

The different regions of the electromagnetic spectrum have been grouped on the basis of their radiation qualities. The radiations are categorized under following name and their corresponding wavelengths are shown in following figure.

Explanation:

Consider the wavelength of $0.012\text{ m}$ provided in the problem statement.

The wavelength of the radio wave radiation is in greater than $10\text{ cm}$. The wavelength of $0.012\text{ m}$ provided in the problem statement lies in the radio wave region of the electromagnetic spectrum.

Conclusion:

The radiation wavelength mentioned in the problem statement, lies in the radio wave region of the electromagnetic spectrum.