When the frequency of a wave decreases, the of the wave increases.
Question
When the frequency of a wave decreases, the of the wave increases.
Solution
When the frequency of a wave decreases, the wavelength of the wave increases.
Here's why:
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The speed of a wave is determined by the medium in which it is traveling, and it is the product of its frequency (how often the waves occur) and its wavelength (the distance between each wave).
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This relationship is described by the equation v = fλ, where v is the speed of the wave, f is the frequency, and λ is the wavelength.
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If the speed of the wave remains constant (which is often the case, as the wave will be traveling in a constant medium), but the frequency decreases, then the wavelength must increase to compensate. This is because the product of the frequency and the wavelength must remain equal to the constant speed.
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Therefore, when the frequency of a wave decreases, the wavelength of the wave increases.
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