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C05_008A

Shorter

wavelength

Lower frequency

Higher frequency

Longer

wavelength

All electromagnetic waves, including visible light, travel at a speed of 3.00

×

10

8

m/s in a

vacuum. Because the speed of light is such an important and universal value, it is given its

own symbol, c. The speed of light is the product of its wavelength (

λ

) and its frequency (

ν

).

Electromagnetic Wave Relationship

c

= λν

c

is the speed of light in a vacuum.

λ

is the wavelength.

ν

is the frequency.

The speed of light in a vacuum is equal to the product of the wavelength and the frequency.

Although the speed of all electromagnetic waves in a vacuum is the same, waves can have

different wavelengths and frequencies. As you can see from the equation above, wavelength

and frequency are inversely related; in other words, as one quantity increases, the other

decreases. To better understand this

relationship, examine the two waves

illustrated in

Figure 3

. Although both waves

travel at the speed of light, you can see that

the red wave has a longer wavelength and

lower frequency than the violet wave.

Electromagnetic spectrum

Sunlight, which is one example of white

light, contains a nearly continuous range

of wavelengths and frequencies. White

light passing through a prism separates

into a continuous spectrum of colors

similar to the spectrum in

Figure 4

.

These are the colors of the visible

spectrum. The spectrum is called

continuous because each point of it

corresponds to a unique wavelength

and frequency.

Figure 3 

These waves illustrate the

relationship between wavelength

and frequency. As frequency

increases, wavelength decreases.

Infer 

Does frequency or wavelength

affect amplitude?

Figure 4 

When white light passes through a prism, it is separated

into a continuous spectrum of its different components—red, orange,

yellow, green, blue, indigo, and violet light.

108 

Module 4 • Electrons in Atoms

Andrzej Wojcicki/Science Photo Library/Alamy