The relationship between wavelength and frequency is such that as the wavelength increases, the frequency decreases, and vice versa. This is based on the wave equation:
\[ \text{Speed} = \text{Wavelength} \times \text{Frequency} \]
If the speed of the wave is constant, an increase in wavelength results in a decrease in frequency, and a decrease in wavelength results in an increase in frequency.
Analyzing each student's statement:
- Darius: Wavelength increases and frequency increases. Incorrect, as this contradicts the known relationship.
- Kathryn: Wavelength increases and frequency remains the same. Incorrect, since an increase in wavelength should lead to a decrease in frequency.
- Anya: Wavelength decreases and frequency increases. Correct, based on the established relationship.
- Franco: Wavelength remains the same and frequency decreases. Incorrect, as frequency should not decrease when wavelength is constant.
Based on this analysis, Anya is the correct student.
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