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What is the critical angle for a light ray going from dense glass into water? The refractive indices of dense glass and water relative to air are 1.62 and 1.33 respectively.

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Question

What is the critical angle for a light ray going from dense glass into water? The refractive indices of dense glass and water relative to air are 1.62 and 1.33 respectively.

Numerical
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Solution

Given:

Refractive index of dense glass (μ1) = 1.62

Refractive index of water (μ2) = 1.33

To Find:

Critical angle (C) for the glass–water interface

Formula:

sin⁡ C = `μ_2/μ_1`​​

sin⁡ C = `1.33/1.62`

sin⁡ C = 0.82098765

C = sin−1 (0.821)

C ≈ 55°

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