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Q.

Refractive index of a transparent material for violet light is 1.585 and that for red light is 1.485. A thin prism is made of this material and a ray of white light is incident on one refracting surface of this prism at near normal incidence. Then ratio of angle of dispersion to the mean angle of deviation is

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a

0.187

b

0.235

c

0.452

d

0.325

answer is A.

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Detailed Solution

θ=Angle of dispersion =μV−μRA=0.1AMean refractive index=μV+μR2=1.535∴ δ=Mean angle of deviation =μY-1A=0.535A∴ θδ=0.1 A0.535 A=0.187

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