A glass prism deviates the red and violet rays through 9 ∘ and 1 1 ∘ respectively. A second prism of equal angle deviates them through 1 1 ∘ and 1 3 ∘ respectively. The ratio of dispersive power of se

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A glass prism deviates the red and violet rays through 9 ∘ and 1 1 ∘ respectively. A second prism of equal angle deviates them through 1 1 ∘ and 1 3 ∘ respectively. The ratio of dispersive power of second nrism to first prism is

TestHub · Accepted Answer

∴ Dispersive Power of Prism: ​ ω = δ y ​ δ v ​ − δ r ​ ​ δ y ​ = 2 δ v ​ + δ r ​ ​ = 2 11 + 9 ​ ​ ∴ For first Prism, ω 1 ​ ​ = 11 + 9 2 ( 11 − 9 ) ​ = 5 1 ​ ​ For Second Prism: ω 2 ​ ​ = 13 + 11 2 ( 13 − 11 ) ​ = 6 1 ​ ​ Ratio: ω 1 ​ ω 2 ​ ​ = 5 1 ​ 6 1 ​ ​ = 6 5 ​ ∴ The ratio is 5 : 6 .

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