- Wavelength
Wavelength is a measure of of the distance from one wave crest to the next.
For visual light it is measured in units of thousands of Angstroms (where an
Angstrom is one hundred millionth of a centimeter).
- Period
Period is a measure of how often something occurs. If your faucet is dripping
and a droplet of water falls every ten seconds, then the drip has a period of
10 seconds. If you spin around in circles to make yourself dizzy and you make
a full revolution every two seconds, then your spin period is two seconds.
When we talk about light we say that its period is how long it takes the wave
to travel a full wavelength (the distance from wave crest to wave crest).
Because light always travels at a set velocity, 300,000 kilometers per second,
if you know the wavelength of a beam of light then you know its period as
well. Velocity is equal to distance traveled per unit time, so v = ÷ P. For light with wavelength , the period P is thus equal to
where the velocity v is equal to c, the letter used to identify
the speed of light. This relation holds for light waves, but not for ocean
waves, sound waves, earthquake waves, or waves good-bye from your baby
brother, because these waves all travel at different speeds.
Let us walk through a simple example, to find the period of a beam of light
from its wavelength. If we have green laser pointer, its wavelength is
roughly 5500 Angstroms. As we know the speed of light in units of kilometers
per second, we'll need to first convert the wavelength from Angstroms into
centimeters, and then to kilometers.
We can now determine the period P, by putting values for the wavelength
and the speed of light c into our relation.
- Frequency
Frequency is the inverse of period. If a wave takes P seconds to
complete a single pattern, then it has a frequency of 1/P cycles per
second.
If you and your horse can make it once around the racetrack every three
minutes, then your period P is three minutes, or one-twentieth of an
hour. Your frequency is twenty cycles (twenty spins
round the track) per hour. Your house is powered by electricity with a
frequency of 60 Hertz (Hz), which means that the energy in the circuit
oscillates with a period of 0.0167 seconds.
We found above that green light had a period of 1.8 × 10-15
seconds. We can also calculate its frequency.
- Energy
For light, we can equate the frequency of the beam with the amount of energy
that it contains. For light with frequency , we say the
amount of energy E is proportional to .
Higher frequency light has more energy than lower frequency light. This is why
people worry about how much radiation they absorb from repeated high energy
x-rays, and why people put on sunscreen to block the higher frequency
ultraviolet radiation emitted from the Sun. No one worries that low frequency
radio waves may be passing through our bodies every second, and cats love to
bask in the warm infrared sunlight.
We wrote above that energy E and frequency were
proportional to one another (if one increases, so does the other, while if one
drops off in intensity the other will as well). They agree to within a scalar
constant, the constant h which transforms between units of frequency
(cycles per second, or Hz) and units of energy (ergs).
If a beam of light contains 6.63 × 10-27 ergs of energy, it has
a frequency of one Hz. How much is an erg? 109 ergs will power a
light-bulb for one second (ergs are small!).
Note that because energy correlates with frequency, it is inversely related
to period and wavelength. High energy electromagnetic waves have a high
frequency, short period, and short wavelength, while low energy counterparts
feature a low frequency, a long period, and a long wavelength.
- Amplitude
Amplitude is a measure of the height of a wave, the vertical distance
from the top of a wave crest to the bottom of a wave trough.
For an ocean wave, you can see the amplitude by watching the height of the
wave as it rolls into shore (or listen to the surf report!). For an
earthquake wave, watch the ground literally rise and fall at your feet. It
takes work to raise water, or to raise up the ground, so it should make sense
that a higher amplitude wave also has more energy.