Chapter 6: Problem 15
Arrange the following kinds of electromagnetic radiation in order of increasing wavelength: infrared, green light, red light, radio waves, X-rays, ultraviolet light.
Short Answer
Expert verified
The arrangement of the given types of electromagnetic radiation in order of increasing wavelength is: X-rays, ultraviolet light, green light, red light, infrared light, and radio waves.
Step by step solution
01
Understand the electromagnetic spectrum
The electromagnetic spectrum contains all types of electromagnetic radiation ranging from gamma rays, X-rays, ultraviolet (UV) light, visible light, infrared (IR) light, microwaves, and radio waves. These types of radiation differ in terms of their wavelength and frequency. The shorter the wavelength, the higher the frequency, and vice versa.
02
Know the order of the electromagnetic spectrum
The electromagnetic spectrum is typically ordered as follows (from shortest wavelength to longest wavelength): gamma rays, X-rays, UV light, visible light, IR light, microwaves, and radio waves. The visible light spectrum is a small portion of the entire electromagnetic spectrum and contains the different colors of light; from shortest to longest wavelength, they are violet, indigo, blue, green, yellow, orange, and red.
03
Arrange the given types of electromagnetic radiation in order of increasing wavelength
Based on the electromagnetic spectrum's order, we can arrange the given types of electromagnetic radiation as follows (from shortest to longest wavelength):
1. X-rays
2. Ultraviolet light
3. Green light (visible light spectrum, falls between blue and yellow)
4. Red light (visible light spectrum, falls after yellow and orange)
5. Infrared light
6. Radio waves
So, in order of increasing wavelength, the arrangement is: X-rays, ultraviolet light, green light, red light, infrared light, and radio waves.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Electromagnetic Radiation
Imagine the universe speaking to us through waves, and electromagnetic radiation is its language! But what is it exactly? Electromagnetic radiation is a form of energy that is all around us and takes various forms, such as X-rays used in hospitals, the microwaves heating our food, and the radio waves carrying music to our car radios.
At the core, it's all about electric and magnetic fields. These fields oscillate perpendicularly to each other and travel through space at the speed of light—about 299,792 kilometers per second! This incredible phenomenon encompasses a wide range of energies, collectively known as the electromagnetic spectrum.
It might help to think of it like the ocean's waves: just as water waves can have short or long distances between their peaks, so can electromagnetic waves have short or long wavelengths. And whether it's for medical imaging, cooking, or communication, various technologies harness different parts of this spectrum for an array of applications.
At the core, it's all about electric and magnetic fields. These fields oscillate perpendicularly to each other and travel through space at the speed of light—about 299,792 kilometers per second! This incredible phenomenon encompasses a wide range of energies, collectively known as the electromagnetic spectrum.
It might help to think of it like the ocean's waves: just as water waves can have short or long distances between their peaks, so can electromagnetic waves have short or long wavelengths. And whether it's for medical imaging, cooking, or communication, various technologies harness different parts of this spectrum for an array of applications.
Wavelength and Frequency
Now that we know what electromagnetic radiation is, let's dive into two of its fundamental properties: wavelength and frequency. These two characteristics are flip sides of the same coin — as one increases, the other decreases.
Wavelength, represented by the Greek letter lambda \( \lambda \), is the distance between two consecutive peaks or troughs in a wave. Measured in meters or its subunits, wavelength determines the type of electromagnetic radiation we're observing. Frequency, on the other hand, symbolized by \( f \), is the number of waves that pass a given point in one second, measured in hertz (Hz).
The relationship between the two is quite straightforward: the higher the frequency, the shorter the wavelength, and conversely, the lower the frequency, the longer the wavelength. This is important because it helps us to understand why different types of electromagnetic radiation act in various ways. For instance, higher frequency radiation like X-rays can pass through our body, but lower frequency signals like radio waves are better for long-distance communication.
Wavelength, represented by the Greek letter lambda \( \lambda \), is the distance between two consecutive peaks or troughs in a wave. Measured in meters or its subunits, wavelength determines the type of electromagnetic radiation we're observing. Frequency, on the other hand, symbolized by \( f \), is the number of waves that pass a given point in one second, measured in hertz (Hz).
The relationship between the two is quite straightforward: the higher the frequency, the shorter the wavelength, and conversely, the lower the frequency, the longer the wavelength. This is important because it helps us to understand why different types of electromagnetic radiation act in various ways. For instance, higher frequency radiation like X-rays can pass through our body, but lower frequency signals like radio waves are better for long-distance communication.
Visible Light Spectrum
Within the vast electromagnetic spectrum, there is a tiny, yet special range that the human eye can perceive: the visible light spectrum. It's what makes our world vivid and colorful. The colors of the rainbow map this spectrum, starting with violet, which has the shortest wavelength, and progressing through indigo, blue, green, yellow, orange, to red, which has the longest wavelength.
The sun emits light at all these wavelengths, which, when combined, appear white to our eyes. Yet when sunlight passes through a prism or droplets of water in the air, it disperses into its component colors, stunning us with the spectrum of a rainbow. Specifically, for the colors in the given exercise question, green light has a shorter wavelength than red light. Green is situated between blue and yellow in the spectrum, whereas red is at the end, just before the infrared light that our skin feels as heat but cannot see.
This understanding of the visible light spectrum not only helps us to appreciate the beauty around us but also has practical applications, such as in fiber-optic communications, where light of different colors is used for transferring information at incredible speeds.
The sun emits light at all these wavelengths, which, when combined, appear white to our eyes. Yet when sunlight passes through a prism or droplets of water in the air, it disperses into its component colors, stunning us with the spectrum of a rainbow. Specifically, for the colors in the given exercise question, green light has a shorter wavelength than red light. Green is situated between blue and yellow in the spectrum, whereas red is at the end, just before the infrared light that our skin feels as heat but cannot see.
This understanding of the visible light spectrum not only helps us to appreciate the beauty around us but also has practical applications, such as in fiber-optic communications, where light of different colors is used for transferring information at incredible speeds.