To determine which student's ideas about the relationship between wavelength and frequency are correct, we need to apply the fundamental principle of wave physics: wavelength and frequency are inversely related. This means that if the wavelength increases, the frequency decreases, and vice versa.
Let's go through each student's response:
- Darius: Wavelength increases and frequency increases. (Incorrect)
- Kathryn: Wavelength increases and frequency remains the same. (Incorrect)
- Anya: Wavelength decreases and frequency increases. (Correct)
- Franco: Wavelength remains the same and frequency decreases. (Incorrect)
The only student who provides a correct representation of the relationship is Anya, as a decrease in wavelength corresponds to an increase in frequency.
Therefore, the correct answer is: Anya.