Chapter 5, Problem 47A

a)

Interpretation Introduction

Interpretation : The regions of the electromagnetic spectrum are to be arranged in decreasing order of wavelength.

Concept Introduction : A wide range of wavelengths of radiation makes up the electromagnetic spectrum. Electromagnetic radiations come in a wide variety with varying frequencies and/or wavelengths.

Answer to Problem 47A

The order of decreasing wavelength in the electromagnetic spectrum is radio wave (v), microwave (vi), infrared (iv), visible (iii), ultraviolet (i), and x-rays (ii).

Explanation of Solution

Light contains both particles and waves.

A wide range of wavelengths of radiation makes up the electromagnetic spectrum. Electromagnetic radiations come in a wide variety with varying frequencies and/or wavelengths.

The separation between the crests is known as the wavelength.

The wavelength is inversely proportional to frequency. The relationship between wavelength and frequency is given as:

  $\lambda =\frac{c}{\nu }$

Where $\lambda$ is the wavelength, $c$ is the velocity of light, and $\nu$ is the frequency.

In the electromagnetic spectrum, the wavelength decreases from left to right.

The decreasing order of the wavelength of the electromagnetic spectrum is radio wave (v), microwave (vi), infrared (iv), visible (iii), ultraviolet (i), and x-rays (ii).

b)

Interpretation Introduction

Interpretation : The regions of the electromagnetic spectrum are to be arranged in decreasing order of frequency.

Concept Introduction : A wide range of wavelengths of radiation makes up the electromagnetic spectrum. Electromagnetic radiations come in a wide variety with varying frequencies and/or wavelengths.

Answer to Problem 47A

The order of decreasing frequency in the electromagnetic spectrum is x-rays (ii), ultraviolet (i), visible (iii), infrared (iv), microwave (vi), and radio waves (v).

Explanation of Solution

Light contains both particles and waves.

A wide range of wavelengths of radiation makes up the electromagnetic spectrum. Electromagnetic radiations come in a wide variety with varying frequencies and/or wavelengths.

The frequency is how often waves cycle through a specific point in a unit of time.

The wavelength is inversely proportional to frequency. The relationship between wavelength and frequency is given as:

  $\lambda =\frac{c}{\nu }$

Where $\lambda$ is the wavelength, $c$ is the velocity of light, and $\nu$ is the frequency.

In the electromagnetic spectrum, the frequency increases from left to right.

The decreasing order of the frequency of the electromagnetic spectrum is x-rays (ii), ultraviolet (i), visible (iii), infrared (iv), microwave (vi), and radio waves (v).