The relationship between wavelength (λ) and frequency (f) of a wave is described by the equation:
\[ v = f \cdot λ \]
where \( v \) is the speed of the wave, which is constant for a given medium.
From this relationship, we can deduce the following:
- If the wavelength increases, the frequency must decrease (because the speed of the wave remains constant).
- If the wavelength decreases, the frequency must increase.
- If the wavelength remains the same, the frequency must also remain the same.
Now, let's evaluate each student's statement:
- Darius: Wavelength increases, frequency increases. (Incorrect)
- Kathryn: Wavelength increases, frequency remains the same. (Incorrect)
- Anya: Wavelength decreases, frequency increases. (Correct)
- Franco: Wavelength remains the same, frequency decreases. (Incorrect)
The correct student is Anya.