Light with frequency 6 * 10¹⁶ Hz is traveling in a material with index of refraction n = 2.What is its wavelength (nm)in this material?

Question

Quizplus · Accepted Answer

The formula to calculate wavelength in a material with index of refraction n is: λ = λ0/n Where λ0 is the wavelength in vacuum. We are given the frequency of light, but we need to convert it to wavelength using the formula: v = fλ where v is the speed of light (in vacuum or in the medium). Since we are given the frequency in Hz, we can use the speed of light in vacuum (c = 3.00 x 10^8 m/s). 6 x 10^16 Hz = (3.00 x 10^8 m/s)λ λ = (3.00 x 10^8 m/s) / (6 x 10^16 Hz) = 5 x 10^-9 m = 5 nm Now we can calculate the wavelength in the material: λ = λ0/n = 5 nm / 2 = 2.5 nm = 2.5 x 10^-9 m = 2.5 F1F1F1S1F1F1F10 10⁸nm. Therefore, the answer is C) 2.

Light with Frequency 6 * 1016 Hz Is Traveling in a Material

Light with Frequency 6 * 10¹⁶ Hz Is Traveling in a Material