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Q.

A deviation of 20 is produced in the yellow ray when prism of crown and flint    glass are achromatically combined. Taking dispersive power of crown and flint glass as        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).

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answer is 12 .

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Detailed Solution

For Achromatic Combination, δV−δR=δV1−δR1⇒ωδY=ω1δY1⇒ωμY−1A=ωIμYI−1AI Given :  δY−δY1=20⇒μY−1A−μY1−1A1=20⇒μY−1A−μY−1Aωω1=20⇒μY−1A1−0.020.03=20 ⇒μY−1A=60⇒(1.5−1)A=60⇒A=12∘
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