Questions: Properties of Waves Quick Check Science 8B, GA 6.24/Waves Use the table to answer the question. Student Wavelength Frequency Darius increase increase Kathryn increase remain the same Anya decrease increase Franco remain the same decrease Four students write their ideas about the relationship between wavelength and frequency. Which student is correct? (1 point) Franco Darius Anya Kathryn

Solution Steps

The relationship between wavelength (\(\lambda\)) and frequency (\(f\)) of a wave is given by the equation:

\[ v = \lambda \cdot f \]

where \(v\) is the wave speed. For a given wave speed, wavelength and frequency are inversely proportional. This means that if the wavelength increases, the frequency should decrease, and vice versa, assuming the wave speed remains constant.

• Darius: Suggests both wavelength and frequency increase. This contradicts the inverse relationship.
• Kathryn: Suggests wavelength increases while frequency remains the same. This is possible if the wave speed increases.
• Anya: Suggests wavelength decreases while frequency increases. This aligns with the inverse relationship.
• Franco: Suggests wavelength remains the same while frequency decreases. This implies a decrease in wave speed.

Given the typical scenario where wave speed is constant, the correct relationship is that wavelength and frequency are inversely proportional. Anya's statement aligns with this understanding.

Final Answer