What describes the relationship between wavelength and frequency of light?

The correct choice highlights a fundamental principle of wave behavior, specifically in the context of electromagnetic radiation, including light. The relationship between wavelength and frequency is described by the equation:

[ c = \lambda \cdot f ]

where ( c ) is the speed of light, ( \lambda ) is the wavelength, and ( f ) is the frequency. According to this relationship, the speed of light is constant in a vacuum. When the wavelength (( \lambda )) of light increases, the frequency (( f )) must decrease in order to keep this equation balanced, since the product of wavelength and frequency always equals the speed of light.

This inverse relationship demonstrates that longer wavelengths (such as those of radio waves) correspond to lower frequencies, while shorter wavelengths (like those of gamma rays) correspond to higher frequencies. Therefore, the statement that as wavelength increases, frequency decreases accurately reflects the physics of light and aligns with the principles of wave mechanics.

Other choices do not accurately represent the relationship: direct proportionality implies that both quantities increase or decrease together, while asserting that they are unrelated fails to recognize their connection through the speed of light. The last option incorrectly suggests that wavelength increases alongside frequency, which contradicts the established inverse