A deviation of 2 ° is produced in the yellow ray when prism of crown and flint glass are achromatically combined. Taking dispersive powers of crown and flint glass are 0 . 02 and 0 . 03 respectively and refractive index for yellow light for these glasses are 1 . 5 and 1 . 6 respectively. The refracting angles for crown glass prism will be ________ ° (in degree) (Round off to the Nearest Integer)

Step-by-step solution

ω 1 = 0 . 02 ; μ 1 = 1 . 5 ;   ω 2 = 0 . 03 ; μ 2 = 1 . 6 Achromatic combination ∴   θ net = 0 θ 1 - θ 2 = 0 θ 1 = θ 2 ω 1 δ 1 = ω 2 δ 2 and δ net = δ 1 - δ 2 = 2 ° δ 1 - ω 1 δ 1 ω 2 = 2 ° δ 1 1 - ω 1 ω 2 = 2 ° δ 1 1 - 2 3 = 2 ° δ 1 = 6 ° δ 1 = μ 1 - 1 A 1 6 ° = 1 . 5 - 1 A 1 A 1 = 12 °