# Describe the relationship between frequency and wavelength of electromagnetic waves

### Relationship Between Wavelength and Frequency Electromagnetic waves always travel at the same speed (, km per this relationship to figure out the wavelength or frequency of any electromagnetic. We can use this relationship to calculate the wavelength or frequency of any electromagnetic wave if we have the other measurement. Just divide the speed of . Planck determined that energy of light was proportional to its frequency (i.e., as the Color is the association the eye makes with selected portions of that visible region Radio waves, with wavelengths that range from hundreds of meters to less . An alternative way of describing a wave is by its frequency, or the number of.

Solving the Equation In this example we will consider the frequency of radio waves.

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Radio waves are just another form of "light", i. Let's say we have a radio with a dial that is only marked in MHz. This is a measurement of frequency and we note that 1 MHz is the same as 1 million hertz the M in MHz stands for " mega ", which means million. We are told of a radio broadcast we want to hear but we are only given the wavelength of the station and not the frequency.

The wavelength we are given is 3. We know the speed of light and we know the wavelength so it's now an easy matter to plug these numbers into the equation and find the frequency of the radio station: This gives us a frequency of 92 MHz, which is found in the FM range of most domestic radios.

Visible Light The wavelengths of visible light are measured in nanometres, nm billionths of a metre but the equation works just the same. When we look at a light source the colours we see are dictated by the frequency of the light.

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These frequencies are very high by everyday standards. Have a look around the room and find something that's the colour red. How many times are the tiny crests of the light waves coming from that red object passing through the front of your eyes every second?

Frequency versus Wavelength

In other words, what is the frequency of red light? Well, we know the speed of light and can take an average figure for the wavelength of red light. Let's say it's nm, that is: To recap; every point on a wave is oscillating. That is, every point on a wave shows some kind of regular, repetitive change in some value.

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For example, if you create a wave by wiggling a rope up and down, then the molecules that make up the rope are repeatedly moving up and down. If you take an electromagnetic wave, the value of electric and magnetic fields due to the wave at a point is always changing. If the wave in question is not just a short pulse, then at any given time, there can be several points on a wave that are at the same stage of oscillation.

For instance, two points on the wave that reach their maximum value in oscillation simultaneously are oscillating in unison. Thus, two adjacent peaks or two adjacent troughs on a wave are separated by a distance of one wavelength. Often, we use the Greek letter lambda to represent the wavelength of a wave: What is Frequency Frequency is the number of complete oscillations that a wave undergoes per unit time. It is measured in units of hertz Hz. For sound waves, the frequency is related to the pitch of the sound. The higher the frequency, the higher is the pitch. Humans can hear sounds with frequencies between about 20 — Hz. What is the relationship between Wavelength and Frequency You could create a wave with a higher frequency on a rope by wiggling up and down at a faster rate.

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As you do this, you will notice that the wavelength of the wave becomes shorter. Clearly, there is a relationship between wavelength and frequency and now we will try to find out exactly what this relationship is.