The angle of refraction of the light ray in air is 58.75⁰.
The speed of the light while in the water is 2.25 x 10⁸ m/s.
Angle of refraction of the light ray
The angle of refraction can be determined by applying Snell's law as shown below;
n₁sinθ₁ = n₂sinθ₂
where;
- n₁ is refractive index of water
- n₂ is refractive index of air
- θ₁ is the angle incidence
- θ₂ is the angle of refraction
1.33 x sin(40) = 1 x sinθ₂
0.855 = sinθ₂
θ₂ = sin⁻¹(0.855)
θ₂ = 58.75⁰
Speed of the light in water
sinθ₁/v₁ = sinθ₂/v₂
where;
- v₂ is speed of light in air
sin(40)/v₁ = sin(58.75)/(3 x 10⁸)
sin(40)/v₁ = 2.85 x 10⁻⁹
v₁ = sin(40) / (2.85 x 10⁻⁹)
v₁ = 2.25 x 10⁸ m/s
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