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Relation between refractive index and critical angle

The refractive index (n) and critical angle (θc) are related by Snell's law:

Relation
n1 sin(θ1) = n2 sin(θ2)

When θ2 = 90° (critical angle), the relation becomes:

n1 sin(θc) = n2

Critical Angle Formula
sin(θc) = n2 / n1

Refractive Index Formula
n = n1 / n2 = 1 / sin(θc)Title Suggestions for YouTube Video
1. "Critical Angle and Refractive Index: The Ultimate Guide"
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Key Points to Cover
*Critical Angle Definition*: The angle of incidence above which total internal reflection occurs.
*Refractive Index*: A measure of how much light bends when passing from one medium to another.
*Relationship*: sin(C) = n₂/n₁, where C is the critical angle, n₁ is the refractive index of the denser medium, and n₂ is the refractive index of the rarer medium.
*Applications*: Fiber optics, diamond sparkle, and optical devices.


n1 = refractive index of denser medium
n2 = refractive index of rarer medium
θc = critical angle

This relation shows that the critical angle depends on the refractive indices of the two media.

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