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How are energy, frequency, and wavelength related?
Electromagnetic waves can be described by their wavelengths,
energy, and frequency. All three of these things describe a different
property of light, yet they are related to
each other mathematically. This means that it is correct to talk about the
energy of an X-ray or the wavelength of a microwave or the frequency of a
radio wave.
In fact, X-rays and gamma-rays are usually described in terms
of energy, optical and infrared light in terms of wavelength, and radio in
terms of frequency. This is a scientific convention that allows the use of
the units that are the most convenient for describing whatever energy
of light you are looking at. After all - there is a huge difference in
energy between radio waves and gamma-rays. Here's an example.
Electron-volts, or eV, are a unit of energy often used to describe
light in astronomy. A radio wave can have an energy of around 4 x
10-10 eV - a gamma-ray can have an energy of 4 x 109
eV. That's an energy difference of 1019 (or ten
million trillion) eV!
We already know that when we talk about wavelength, we are talking about
the distance between two peaks of a wave. Wavelength is usually measured
in meters (m). Frequency is the number of cycles of a wave to pass some point
in a second. The units of frequency are thus cycles per second, or Hertz
(Hz). Radio stations have frequencies. They are usually equal to
the station number times 1,000,000 Hz. For instance, - the
local Washington, DC station HFS has a frequency of 99.1 million Hz in the
FM radio band.
Do you know what a centimeter (cm) is? Or a kilogram (kg)? "Centi" and
"kilo" are prefixes used to designate a certain number. "Centi" is one
hundreth, and "kilo" is one thousand, so a centimeter is one
hundreth of a meter. A kilogram is 1000 grams. In science, it is
inconvenient
to talk about very large or very small numbers so scientists abbreviate them.
"Nano", (or "n" for short) means one billionth or 10-9. Wavelengths
of optical light have units of nanometers (nm). One nm is equal to one
billionth of a meter. "Micro" (abbreviated by the Greek letter mu or
µ) is one millionth or 10-6. A micrometer, or one thousandth
of a meter is sometimes called a "micron". "Milli" (m) is one thousandth or
10-3. "Centi" (c) is one hundreth or 10-2. "Kilo" is one
thousand or 103. "Mega" (M) is one million or 106. The
frequency of HFS is 99.1 MHz - that is 99.1 Megahertz. One billion is
"giga" (G) or 109.
We already know that light acts like a wave, but did you know that
sometimes it acts like a particle? We call particles of light
photons.
Low-energy photons, like radio photons, tend to behave more like waves,
while higher energy photons (i.e. X-rays) behave more like particles.
That's another reason that we don't talk about X-ray waves very often.
Instead we talk about individual X-rays and their energies.
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