What is the refractive index of a material in which the red-light wavelength is 450 nm?

Theresa Daugherty

Theresa Daugherty

Answered question

2022-12-20

What is the refractive index of a material in which the red-light wavelength is 450 nm?

Answer & Explanation

Jaydan Cantrell

Jaydan Cantrell

Beginner2022-12-21Added 2 answers

The index of refraction of a material in which the wavelength of red light is 450 nm is 1.38 n 1.67
What is index of refraction?
The refractive index is a value that is determined by the ratio of the speed of light in a vacuum to the speed of light in another medium. The refractive index is usually represented by the letter n or n'.
The refractive index n is the factor by which wave slows down relative to the speed of light in vacuum c0 . Almost always, frequency of a wave is constant and so it is the speed and wavelength that change as light passes from one medium into another.
So the wavelength λ inside of the medium is related to free space wavelength λ 0 through the refractive index n .
λ = λ 0 n
Red light has free space wavelength λ 0 of anywhere from 620 nm to 750 nm. All of those of wavelengths look red to our eyes. From above equation refractive index is n1=\frac{\lambda_0}{\lambda}=\frac{620\text{ nm}}{450\text{ nm}}=1.38\n2=\frac{\lambda_0}{\lambda}=\frac{750\text{ nm}}{450\text{ nm}}=1.67Show External URL Show Embeded Code Hide MathML Coden1=λ0λ=620 nm450 nm=1.38n2=λ0λ=750 nm450 nm=1.67 n 1 = λ 0 λ = 620  nm 450  nm = 1.38 n 2 = λ 0 λ = 750  nm 450  nm = 1.67
Based on information you gave, the refractive index could be anything in the range 1.38 n 1.67.

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