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A beam of visible light has a frequency of 4.5x10^14 Hz. What is the wavelength of this light? What color is this light?

Sagot :

xKelvin

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.

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