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Calculate the critical angle for the glass and water pair. (Take refractive index for glass is 1.50 and the refractive index for water is 1.33.)

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Question

Calculate the critical angle for the glass and water pair. (Take refractive index for glass is 1.50 and the refractive index for water is 1.33.)

Numerical
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Solution

Given:

Refractive index of glass (μg) = 1.50

Refractive index of water (μw) = 1.33

To Find:

Critical angle (C) (from glass to water)

Formula:

sin C = `μ_w/μ_g`

sin C = `1.33/1.50`

sin C = 0.8867

C = sin−1 (0.8867)

C = 62.5°

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