Question

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)
Anya
• Darius
• Franco
Kathryn

Answer 1

To determine which student's ideas about the relationship between wavelength and frequency is correct, we need to recall the fundamental concept from physics:

The relationship between wavelength (λ) and frequency (f) is inversely proportional, as described by the formula:

\[ c = \lambda \cdot f \]

Where \( c \) is the speed of light. This means that as the wavelength increases, the frequency decreases and vice versa.

Now, let's look at each student's statements:

- **Darius**: Increase (wavelength) → Increase (frequency)
- **Kathryn**: Increase (wavelength) → Remain the same (frequency)
- **Anya**: Decrease (wavelength) → Increase (frequency)
- **Franco**: Remain the same (wavelength) → Decrease (frequency)

Based on the concept:

- Darius is incorrect because an increase in wavelength results in a decrease in frequency.
- Kathryn is incorrect because an increase in wavelength causes frequency to decrease, not remain the same.
- Anya is correct because a decrease in wavelength correctly leads to an increase in frequency.
- Franco is partially correct but does not accurately reflect the direct relationship of changes in wavelengths and frequencies.

Therefore, **Anya** is the student who is correct in describing the relationship between wavelength and frequency.