Answer:
The wavelength is about 666.2 nm.
The color is red.
Explanation:
Recall the relationship between frequency and wavelength:
[tex]\displaystyle c = \lambda \nu[/tex]
Solve for wavelength λ:
[tex]\displaystyle \lambda = \frac{c}{\nu}[/tex]
Substitute and evaluate. Note that 1 Hz = 1 s⁻¹:
[tex]\displaystyle \begin{aligned} \lambda & = \frac{(2.998\times 10^{8} \text{ m/s})}{(4.5\times 10^{14} \text{ /s})} \cdot \frac{1\times 10^9\text{ nm}}{1\text{ m}} \\ \\ & = 666.2 \text{ nm}\end{aligned}[/tex]
Therefore, the wavelength of the light is about 666.2 nm.
This corresponds with the red region of the visible spectrum.
