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Unit 3Lesson 4 2 min read

Waves and the Electromagnetic Spectrum

16/18

Learning Objectives

Distinguish between mechanical and electromagnetic waves.
List the main regions of the electromagnetic spectrum in order of increasing energy.
Describe the relationship between frequency, wavelength, and energy for light.

The Universe of Waves

A wave is a disturbance that transfers energy through a medium or through space.

Mechanical vs. Electromagnetic Waves

Mechanical Waves: Require a medium (a substance) to travel through. The wave is a propagation of a disturbance within the medium.
Examples: Sound waves (travel through air, water, solids), ocean waves, waves on a guitar string.
They cannot travel through a vacuum.
Electromagnetic (EM) Waves: Do not require a medium. They can travel through the vacuum of space. They are disturbances in electric and magnetic fields.
Examples: Light, radio waves, X-rays, microwaves.
All EM waves travel at the same speed in a vacuum: the speed of light (c), which is approximately 3 x 10⁸ m/s.

The Electromagnetic Spectrum

The EM spectrum is the entire range of EM waves, organized by frequency, wavelength, or energy.

Key Relationships:

Frequency (f) and Wavelength (λ): Inversely proportional. High frequency means short wavelength. (c = fλ).
Energy (E) and Frequency (f): Directly proportional. High frequency means high energy. (E = hf, where h is Planck's constant).
This means Energy is inversely proportional to Wavelength.

Order of Increasing Energy (and Frequency):

1.Radio Waves (Lowest energy, longest wavelength)
2.Microwaves
3.Infrared
4.Visible Light (ROY G BIV)
5.Ultraviolet
6.X-rays
7.Gamma Rays (Highest energy, shortest wavelength)

Visible light is just the tiny portion of this vast spectrum that our eyes have evolved to detect.

Key Terms

Mechanical Wave
A wave that is an oscillation of matter, and therefore transfers energy through a medium.
Electromagnetic Wave
A wave of energy consisting of oscillating electric and magnetic fields that travel at the speed of light. It does not require a medium.
Electromagnetic Spectrum
The range of all types of EM radiation, ordered by wavelength or frequency.
Frequency
The number of crests of a wave that move past a given point in a given unit of time. Measured in Hertz (Hz).
Wavelength
The distance between consecutive corresponding points of the same phase, such as two adjacent crests or troughs.

Check Your Understanding

1

What is the fundamental difference between a mechanical wave and an electromagnetic wave?

2

Which has a higher energy: a photon of red light or a photon of blue light?

3

List the following in order of increasing frequency: Infrared, Gamma Rays, Radio Waves, Visible Light.