Which of the following statements about light is correct?

• A. All colors of visible light have the same wavelength.
• B. The speed of light in a vacuum depends on its frequency.
• C. Light with a longer wavelength has a higher frequency.
• D. The wavelength and frequency of light are inversely related.

Answer: (D)

Verified step by step guidance

1. Recall that visible light consists of different colors, each corresponding to a different wavelength; therefore, not all colors have the same wavelength.
2. Understand that the speed of light in a vacuum is a constant, approximately \$3.00 \times 10^{8}$ m/s, and does not depend on frequency or wavelength.
3. Remember the relationship between wavelength (\(\lambda\)) and frequency (\(\nu\)) of light is given by the equation \(c = \lambda \times \nu\), where \(c\) is the speed of light.
4. Since \(c\) is constant, if the wavelength increases, the frequency must decrease, and vice versa, showing that wavelength and frequency are inversely related.
5. Therefore, the correct statement is that the wavelength and frequency of light are inversely related, which aligns with the fundamental wave equation.