Answer:
Δθ = 0.3 °
Explanation:
For this exercise we will use the law of refraction
n₁ sin θ₁ = n₂ sin θ₂
Where n₁ and n₂ are the refractive indices and θ are the incident and refracted angles
We apply this equation for each wavelength
Red λ = 600
The refractive index of air n₁ = 1
Let's calculate the angle of refraction (θ₂)
sin θ₂ = n₁ / n₂ sin θ₁
sin θ₂ = 1 / 1,455 sin 49.7
sin θ₂ = 0.52417
θ₂ = sin⁻¹ (0.52417)
θ₂ = 31.6 °
Violet λ = 410 nm
Sin θ₃ = 1 / 1,468 sin 49.7
θ₃ = sin⁻¹ (0.5195)
θ₃ = 31.3 °
The angle of dispersion is
Δθ = θ₃ - θ₂
Δθ = 31.6 - 31.3
Δθ = 0.3 °
