A thin prism P 1 with an angle 6 ∘ and made of glass of refractive index 1.54 is combined with another prism P 2 made from glass of refractive index 1.72 to produce dispersion without average devi

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A thin prism P 1 ​ with an angle 6 ∘ and made of glass of refractive index 1.54 is combined with another prism P 2 ​ made from glass of refractive index 1.72 to produce dispersion without average deviation. The angle of prism P 2 ​ is :

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Angle of deviation for first prism δ 1 ​ = A 1 ​ ( μ 1 ​ − 1 ) = 6 ( 1.54 − 1 ) Angle of deviation for second prism ​ δ 2 ​ = A 2 ​ ( μ 2 ​ − 1 ) = A 2 ​ ( 1.72 − 1 ) ​ For dispersion without deviation ​ δ 1 ​ = δ 2 ​ ⇒ 6 ∘ ( 1.54 − 1 ) = A 2 ​ ( 1.72 − 1 ) ⇒ A 2 ​ = 0.72 6 ∘ × 0.54 ​ = 4 1 8 ∘ ​ = 4. 5 ∘ ​

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