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Question

Physics Question on Ray optics and optical instruments

White light is incident on one of the refracting surfaces of a prism of angle 55^\circ. If the refractive indices for red and blue colours are 1.6411.641 and 1.6591.659 respectively, the angular separation between these two colours when they emerge out of the prism is

A

0.9 0.9^\circ

B

0.090.09^\circ

C

1.81.8 ^\circ

D

1.21.2 ^\circ

Answer

0.090.09^\circ

Explanation

Solution

Angular dispersion,
δbδr=(μbμr)A\delta_{b}-\delta_{r} =\left(\mu_{b}-\mu_{r}\right) A
=(1.6591.641)5=(1.659-1.641) 5^{\circ}
=0.09=0.09^{\circ}