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a
increases if the average refractive index increases
b
increases if the average refractive index decreases
c
remains constant whether the average refractive index increases or decreases
d
has not relation with average refractive index
answer is A.
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Detailed Solution
The angular dispersion θ i.e., the angle between the extreme rays of light,θ=δV−δR where δV=μV−1A, δR=μV−1A&A is angle of prism.So if refractive index increases, then δ increases & hence θ increases.