As frequency increases, wavelength _______.

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Multiple Choice

As frequency increases, wavelength _______.

Explanation:
Wavelength is inversely related to frequency for a wave traveling at a constant speed. The relationship is given by v = f λ, where v is the wave speed, f the frequency, and λ the wavelength. If the speed v stays the same and you increase the frequency, the product f λ must remain equal to v, so λ must decrease. In practical terms, doubling the frequency shortens the wavelength by half. This is evident in light, where higher-frequency (bluer) light has shorter wavelengths, and in sound, where higher-pitched tones (higher frequency) correspond to shorter wavelengths, assuming the speed of sound in the medium stays effectively constant.

Wavelength is inversely related to frequency for a wave traveling at a constant speed. The relationship is given by v = f λ, where v is the wave speed, f the frequency, and λ the wavelength. If the speed v stays the same and you increase the frequency, the product f λ must remain equal to v, so λ must decrease. In practical terms, doubling the frequency shortens the wavelength by half. This is evident in light, where higher-frequency (bluer) light has shorter wavelengths, and in sound, where higher-pitched tones (higher frequency) correspond to shorter wavelengths, assuming the speed of sound in the medium stays effectively constant.

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