The average refractive index of glass, n = (1.52 + 1.53 + 1.52 + 1.49) / 4 = 1.515 Thus, the refractive index of the glass block is 1.52 . Section B: Calculation Problems (Aktiviti 13.2) Question 1: The speed of light in a medium is 2.0 × 10⁸ m/s. Calculate the refractive index of the medium. (Speed of light in vacuum = 3.0 × 10⁸ m/s)
| Angle of incidence, i (°) | Angle of refraction, r (°) | sin i | sin r | n = sin i / sin r | |---------------------------|----------------------------|-------|-------|-------------------| | 20 | 13 | 0.342 | 0.225 | 1.52 | | 30 | 19 | 0.500 | 0.326 | 1.53 | | 40 | 25 | 0.643 | 0.423 | 1.52 | | 50 | 31 | 0.766 | 0.515 | 1.49 |
n = 1 / sin c n = 1 / sin 24.4° n = 1 / 0.413 = 2.42 The average refractive index of glass, n = (1
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1/10 = 1/15 + 1/v 1/v = 1/10 – 1/15 = (3 – 2)/30 = 1/30 v = 30 cm (Image distance) (Speed of light in vacuum = 3
Using Snell’s Law: n₁ sin i = n₂ sin r 1.33 × sin 35° = 1.00 × sin r 1.33 × 0.574 = sin r sin r = 0.763 r = sin⁻¹ (0.763) = 49.8° Section C: Total Internal Reflection (Aktiviti 13.3) Question: The critical angle for diamond is 24.4°. Calculate the refractive index of diamond.
Magnification, m = v/u = 30/15 =
A light ray travels from water (n = 1.33) into air. The angle of incidence in water is 35°. Calculate the angle of refraction in air.