Question
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) Responses Anya Anya Franco Franco Kathryn Kathryn Darius
Answers
GPT-4o mini
To determine which student is correct regarding the relationship between wavelength and frequency, we should recall the basic principle of wave behavior. According to the wave equation:
\[ \text{Speed} = \text{Wavelength} \times \text{Frequency} \]
As the wavelength increases, the frequency must decrease to keep the speed constant (and vice versa). Let’s analyze the students' ideas:
- **Darius:** Wavelength increases and frequency increases — **Incorrect**
- **Kathryn:** Wavelength increases and frequency remains the same — **Incorrect**
- **Anya:** Wavelength decreases and frequency increases — **Correct**
- **Franco:** Wavelength remains the same and frequency decreases — **Incorrect**
**Conclusion:** The correct answer is Anya, as she accurately states that when the wavelength decreases, the frequency increases.
\[ \text{Speed} = \text{Wavelength} \times \text{Frequency} \]
As the wavelength increases, the frequency must decrease to keep the speed constant (and vice versa). Let’s analyze the students' ideas:
- **Darius:** Wavelength increases and frequency increases — **Incorrect**
- **Kathryn:** Wavelength increases and frequency remains the same — **Incorrect**
- **Anya:** Wavelength decreases and frequency increases — **Correct**
- **Franco:** Wavelength remains the same and frequency decreases — **Incorrect**
**Conclusion:** The correct answer is Anya, as she accurately states that when the wavelength decreases, the frequency increases.