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Question

A ray of light passes from air to crown glass (\( n = 1.52 \)) at an angle of incidence of \( 60^\circ
\). What is the angle of refraction?

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Explanation

**Refractive index** n = c/v, water 1.33 means light 1.33 times slower than vacuum. Passing from water to air at 49°, n₁ sinθ₁ =1.33×sin49°≈1.33×0.755=1.004>1, so sinθ₂>1 impossible, total internal reflection occurs, no refraction. Snell’s law: n₁ sin i = n₂ sin r . Air ( n₁ = 1 ), glass ( n₂ = 1.52 ), i = 60° . 1 × sin 60° = 1.52 × sin r . sin 60° = 0.866 ⇒ 0.866 = 1.52 sin r ⇒ sin r = (0.866/1.52) ≈ 0.57 . r = sin⁻¹(0.57) ≈ 34.8° . Substituting values gives 35°, which matches expected image position and magnification from

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