When unpolarized light is incident at an angle of 60∘ on a transparent medium from air. The reflected ray is completely polarized. The angle of refraction in the medium i
Question
When unpolarized light is incident at an angle of 60∘ on a transparent medium from air. The reflected ray is completely polarized. The angle of refraction in the medium i
Solution
The phenomenon you're referring to is known as Brewster's Law. According to this law, the light becomes completely polarized when the reflected and refracted rays are at 90 degrees to each other.
Here's how you can calculate the angle of refraction:
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First, note that the angle of incidence is given as 60 degrees. This is the angle at which the light hits the medium.
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According to Brewster's Law, the tangent of the angle of incidence (i) is equal to the refractive index (n) of the medium. Mathematically, this is expressed as tan(i) = n.
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To find the angle of refraction (r), you can use Snell's Law, which states that the refractive index of the first medium (n1) times the sine of the angle of incidence (i) is equal to the refractive index of the second medium (n2) times the sine of the angle of refraction (r). This is expressed as n1sin(i) = n2sin(r).
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In this case, the refractive index of air (n1) is approximately 1, and the refractive index of the medium (n2) can be found using Brewster's Law (tan(60) = n2).
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After finding n2, you can substitute the values into Snell's Law and solve for r.
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The result will be the angle of refraction in the medium.
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