The relationship between wavelength and frequency is described by the equation:
\[ c = \lambda \cdot \nu \]
where \( c \) is the speed of light, \( \lambda \) is the wavelength, and \( \nu \) is the frequency. According to this relationship:
- If the wavelength increases, the frequency must decrease (since the speed of light is constant).
- If the wavelength decreases, the frequency must increase.
Now we can analyze each student's response:
- Darius: increase wavelength = increase frequency (incorrect)
- Kathryn: increase wavelength = remain the same frequency (incorrect)
- Anya: decrease wavelength = increase frequency (correct)
- Franco: remain the same wavelength = decrease frequency (incorrect)
The only student who is correct is Anya, as she accurately states that a decrease in wavelength leads to an increase in frequency.
So the correct answer is Anya.