As the frequency of light increases, what happens to its wavelength?

• A. The wavelength first increases, then decreases.
• B. The wavelength decreases.
• C. The wavelength increases.
• D. The wavelength remains unchanged.

Answer: (B)

Verified step by step guidance

1. Recall the fundamental relationship between the speed of light (\(c\)), frequency (\(f\)), and wavelength (\(\lambda\)), which is given by the equation: \(c = f \times \lambda\).
2. Understand that the speed of light (\(c\)) in a vacuum is a constant, approximately \$3.00 \times 10^{8}$ meters per second.
3. Since \(c\) is constant, if the frequency (\(f\)) of the light increases, the wavelength (\(\lambda\)) must adjust to keep the product \(f \times \lambda\) equal to \(c\).
4. Rearrange the equation to solve for wavelength: \(\lambda = \frac{c}{f}\).
5. From this equation, observe that as frequency (\(f\)) increases, the wavelength (\(\lambda\)) decreases, because they are inversely proportional.