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Q.

A composite light consisting of red, green and blue colours is incidence on face AB of a glass prism. The blue light is just totally internally reflected at face AC as shown in. Then

 

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a

green light is internally reflected at AC but red light emerges from AC.

b

red light is internally reflected at AC but green light emerges from AC

c

green and red lights both emerge from AC

d

green and red lights both do not emerge from AC

answer is C.

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Detailed Solution

Glass is dispersive and the refractive index μ of glass is related to wavelength λ as

μ=A+Bλ2

where A and B are constants. Since  λR>λG>λB,  μR<μG<μB. Therefore, blue, light is deviated the most and red light is deviated the least. Since blue light is just totally internally reflected at face AC,

sin ic =1μB

where ic is the critical angle for blue light. Since μR < μB and μG < μB , the critical angles for red and green lights are greater than that for blue light. Hence red and green light are incident on face AC at angles less than their respective critical angle. Therefore, they will not suffer total internal reflection at face AC and will emerge out from it  So the correct choice is (c).

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