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

Darius
Darius

Anya
Anya

Franco
Franco

Kathryn
Kathryn

Answer 1

To determine which student is correct, we need to understand the relationship between wavelength and frequency. The general principle that governs this relationship is given by the equation:

\[ c = \lambda \times f \]

where:
- \( c \) is the speed of light (a constant),
- \( \lambda \) is the wavelength,
- \( f \) is the frequency.

From this equation, we can deduce that:
- If the wavelength (\( \lambda \)) increases, the frequency (\( f \)) must decrease to keep the equation balanced, since the speed of light is constant.
- If the wavelength decreases, the frequency must increase.
- If the wavelength remains the same, the frequency remains the same.

Now, we can analyze each student's statement:

- **Darius**: "increase" wavelength, "increase" frequency - **Incorrect** (wavelength increase means frequency decreases)
- **Kathryn**: "increase" wavelength, "remain the same" frequency - **Incorrect** (wavelength increase means frequency decreases)
- **Anya**: "decrease" wavelength, "increase" frequency - **Correct** (decrease in wavelength means increase in frequency)
- **Franco**: "remain the same" wavelength, "decrease" frequency - **Incorrect** (if wavelength remains the same, frequency should remain the same)

Therefore, the correct student is **Anya**.