To determine which student is correct about the relationship between wavelength and frequency, we can refer to the wave relationship described by the formula:
\[ c = \lambda \times f \]
where:
- \( c \) is the speed of the wave (constant for a given medium),
- \( \lambda \) is the wavelength,
- \( f \) is the frequency.
From this equation, we can derive that:
- If the wavelength (\( \lambda \)) increases, the frequency (\( f \)) must decrease to keep the speed of the wave (\( c \)) constant.
- Conversely, if the wavelength decreases, the frequency must increase.
Now, let's analyze each student's response:
- 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)
So, the correct student is Anya.