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

What is the frequency of blue light that has a wavelength of 450
nm? What is the frequency of red light that has a wavelength of 650
nm? What is the index of refraction of a material in which the
red-light wavelength is 450 nm?

Frequency of blue light = c/(lambda) =
3*10^(8)/450*10^(-9) = 6.67*10^(14) Hz
Frequency of red light = c/(lambda) =
3*10^(8)/650*10^(-9) = 4.617*10^(14) Hz
Index of Refraction = 1.001
Usually, when wavelengths are quoted, it’s the vacuum
wavelength. So, to answer your question, you will use nu*lambda = c
to get nu = c/lambda.
(a) nu = 3*10^8 m/s / (450nm) = 6.66*10^14 Hz
(b) nu = 3*10^8 m/s / (650nm) = 4.615*10^14 Hz
The index of refraction can therefore be written in terms of
wavelengths as:

where is the wavelength of the light in the
vacuum and is the wavelength of the light in the
medium.
n=(650nm)/(450nm)=1.44
1).
2).
3).Index of Refraction,

 n = (2)

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