1. **Problem Statement:** We are given the frequency and wavelength ranges for visible light colors and asked to analyze or solve a problem related to these values. 2. **Relevant Formula:** The relationship between the speed of light $c$, frequency $f$, and wavelength $\lambda$ is: $$ c = f \times \lambda $$ where $c = 3.0 \times 10^8$ m/s (speed of light in vacuum). 3. **Important Notes:** - Frequency $f$ is given in Hertz (Hz). - Wavelength $\lambda$ is given in nanometers (nm), so convert to meters by multiplying by $10^{-9}$. 4. **Example Calculation:** Let's verify the wavelength range for Reds using the formula. Given: $$ f = 4.5 \times 10^{14} \text{ Hz} $$ $$ \lambda = 650 \text{ nm} = 650 \times 10^{-9} \text{ m} = 6.5 \times 10^{-7} \text{ m} $$ Calculate speed of light: $$ c = f \times \lambda = (4.5 \times 10^{14}) \times (6.5 \times 10^{-7}) = 2.925 \times 10^{8} \text{ m/s} $$ This is close to $3.0 \times 10^{8}$ m/s, confirming the data is consistent. 5. **Summary:** The frequency and wavelength values for visible light colors satisfy the equation $c = f \times \lambda$ within expected measurement ranges. **Final answer:** The given frequency and wavelength ranges correspond correctly to the speed of light relationship for visible light colors.