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True. As the frequency of light increases, the wavelength becomes shorter. This is known as the inverse relationship between frequency and wavelength. Mathematically, the relationship can be expressed as:

λ = c / ν

where λ represents the wavelength, c is the speed of light, and ν represents the frequency. Since the speed of light is constant, if the frequency increases, the wavelength must decrease in order to maintain the relationship. In other words, higher frequency corresponds to shorter wavelength, and vice versa.

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