A thin prism of angle 5 ° made of glass of refractive index μ 1 = 1 . 5 is combined with another prism of glass of refractive index μ 2 = 1 . 75 . The combination of the prisms produces dispersion without deviation. The angle of the second prism should be

Step-by-step solution

For dispersion without deviation δ 1 + δ 2 = 0 μ 1 - 1 A ⁡ 1 + μ 2 - 1 A ⁡ 2 = 0 A ⁡ 2 = - μ 1 - 1 A ⁡ 1 μ 2 - 1 Substituting the given values, we get A ⁡ 2 = - 1 · 5 - 1 5 ° 1 · 75 - 1 = - 10 ° 3 The negative sign shows that the two prisms must be joined in opposition.