The index of refraction of the material through which red light passes is n = 1.44
The index of refraction is the ratio of the speed of propagation of the speed of light in a vacuum to the speed of light in a given medium.
n = c/v
The relationship is studied by Snell's Law, and relates the index of refraction in different media and allows us to find the angles of refraction of a ray of light, by means of the equation:
The wavelength of red light in vacuum is 650nm, if in the material the wavelength value is 450nm, we apply the following equation:
f = C/λ
f = 3×10⁸m/s / 650×10⁻⁹m
f = 4.61×10¹⁴ Hz
V = λf
V = 450×10⁻⁹m * 4.61×10¹⁴ Hz
V = 207450000 m/s
n = 3×10⁸m/s / 207450000 m/s
n = 1.44
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