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
Darius
Darius
Kathryn
Kathryn
Franco
Anya
Based on the information given, the correct student is Kathryn, who stated that an increase in wavelength will result in the frequency remaining the same.
To determine which student is correct, we need to understand the relationship between wavelength and frequency. The wavelength is the distance between two consecutive points on a wave, while the frequency is the number of waves that pass a point per second.
Based on the information provided in the table, Darius states that an increase in wavelength is accompanied by an increase in frequency. Kathryn states that an increase in wavelength results in a constant frequency. Anya's response suggests that a decrease in wavelength leads to an increase in frequency. Franco's response indicates that wavelength and frequency have an inverse relationship; as one increases, the other decreases.
To verify which student is correct, we need to evaluate the information in the table. From the table, we can observe the following patterns:
- Darius: An increase in both wavelength and frequency
- Kathryn: An increase in wavelength but a constant frequency
- Anya: A decrease in wavelength but an increase in frequency
- Franco: No change in wavelength but a decrease in frequency
Comparing these responses to the known relationship between wavelength and frequency, we can conclude that the correct student is Darius. Darius correctly states that an increase in wavelength is accompanied by an increase in frequency.