To understand the relationship between wavelength and frequency, we need to consider the wave equation, which states that the speed of a wave (v) is the product of its frequency (f) and wavelength (λ):
\[ v = f \cdot \lambda. \]
As the wavelength increases, the frequency must decrease if the speed of the wave remains constant. Similarly, if the wavelength decreases, the frequency must increase.
Let's analyze each student's claim based on this relationship:
- 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)
Based on this analysis, the correct student is Anya.
3 answers