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Question
when the frequency of a wave increases, what happens to the wavelength? the wavelength increases. the wavelength decreases. the wavelength is not affected by the frequency of a wave.
Brief Explanations
The relationship between wave - frequency ($f$) and wavelength ($\lambda$) is given by the formula $v = f\lambda$, where $v$ is the wave - speed. Assuming the wave - speed is constant (in a given medium), when $f$ increases, $\lambda$ must decrease to keep $v$ constant.
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The wavelength decreases.