A ray of light strikes a transparent slab of the refractive index of 2 at an angle of incidence 45 ° . The angle between the reflected and refracted rays is

Question

A ray of light strikes a transparent slab of the refractive index of 2 at an angle of incidence 45 ° . The angle between the reflected and refracted rays is, 95 °, 120 °, 135 °, 105 °

MARKS App · Accepted Answer

According to the figure, Given, i = 45 ° Let the angle between the reflected ray and refracted ray is Apply Snell's law at the air-glass surface, sin ⁡ i sin ⁡ r = n 1 ⇒ sin ⁡ 45 ° sin ⁡ r = 2 sin ⁡ r = 1 2 ⋅ 2 = 1 2 ∴ r = 30 ° From the diagram, θ = 180 - i + r = 180 - 45 ° + 30 ° = 180 ° - 75 ° = 105 °

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