Light with a frequency of 6 * 10¹⁶ Hz is traveling in a material with index of refraction n = 1.5.What is its wavelength in this material?

Question

Quizplus · Accepted Answer

The wavelength ($\lambda$) in the material can be found using the formula $\lambda = \frac{c}{n \times f}$, where $c$ is the speed of light in vacuum ($3 \times 10^8$ m/s), $n$ is the index of refraction (1.5 for this material), and $f$ is the frequency of the light (given as $6 \times 10^{14}$ Hz). Plugging in the values, $\lambda = \frac{3 \times 10^8}{1.5 \times 6 \times 10^{14}} = \frac{3}{9} \times 10^{-6}$ m = 0.333... \times 10^{-6} m = 333 nm\), which is approximately 3.3 nm, making D the correct answer.

Light with a Frequency of 6 * 1016 Hz Is

Light with a Frequency of 6 * 10¹⁶ Hz Is