Describe the mathematical relationship between frequency and wavelength?
Question: Describe the mathematical relationship between frequency and wavelength?
In physics, frequency and wavelength are two important properties of waves. Frequency is the number of times a wave oscillates or repeats itself in a unit time, usually measured in hertz (Hz). Wavelength is the distance between two consecutive points on a wave that have the same phase, usually measured in meters (m).
Frequency and wavelength have an inverse relationship: the higher the frequency, the shorter the wavelength, and vice versa. This is because the speed of a wave is equal to the product of its frequency and wavelength. Mathematically, this can be expressed as:
v = f * λ
where v is the wave speed, f is the frequency, and λ is the wavelength. If the wave speed is constant, then increasing the frequency will decrease the wavelength, and vice versa.
For example, visible light has a range of frequencies from about 4 x 10^14 Hz to 8 x 10^14 Hz, corresponding to wavelengths from about 700 nm to 400 nm. Red light has a lower frequency and a longer wavelength than blue light. Similarly, radio waves have much lower frequencies and longer wavelengths than X-rays.
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