State snell's law ? Write its mathematical expression
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Answer:
Snell's law : The ratio sine of angle of incidence to the sine of angle of refraction is a constant for a given color of light and for a given pair of media.
Sin i/ Sin r = constant
This constant is the refractive index of the second medium w.r.t the first.
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Following are the definition and mathematical expression of Snell's law:
- In optics, according to Snell's law, the ratio of the sines of the angle of incidence to the angle of refraction is equal to the ratio of the refractive index of the two mediums at the interference, where a light ray of a particular wavelength falls.
- Ratio of the refractive index of the two mediums at the interference always remains constant.
- Snell's law, tells us how and by which angle the incident ray and refracted ray change their path when traveling from one medium to another medium.
- Mathematical expression of Snell's Law:
sin i / sin r = n₂/n₁ = constant
here,
sin i = angle of incidence
sin r = angle of refraction
n₁ = refractive index of medium 1 ( rarer medium, where light is incident) n₂ = refractive index of medium 2 ( denser medium, where light is refracted)
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