Frequency and wavelength are inversely proportional to each other. This means that as frequency increases, wavelength decreases, and vice versa.
The relationship can be mathematically described by the equation:
Wavelength = Speed of Light / Frequency
where the speed of light is a constant value.
This equation shows that as frequency increases, the denominator gets larger, causing the wavelength to decrease. Conversely, if frequency decreases, the denominator becomes smaller, resulting in an increase in wavelength.
To understand this concept, we can look at the example of a wave traveling through a medium. When the frequency is higher, it means that more wave cycles are occurring within a given time. This means that the individual cycles of the wave are compressed closer together and the wavelength becomes shorter. Conversely, when the frequency is lower, fewer wave cycles occur within the same time, causing the wavelength to be longer.
In summary, frequency and wavelength have an inverse relationship, which means that an increase in frequency results in a decrease in wavelength, and a decrease in frequency leads to an increase in wavelength.
explain how frequency affects the wavelength
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