Isn't it Hypothetical???

A beam consisting of red, blue and yellow colors is incident normally on the face AB of an isosceles right angled prism ABC as shown in the figure. Given that the critical angle of glass-air interface for yellow color is 4 5 o 45^o , choose from the following, along which ray which color will emerge out of the prism.

Details and assumptions :

  • "B-1" means that Blue color emerges out of the prism along the ray 1 and likewise.

  • Ray 4 is the extension of line segment OE.

  • In the figure, I haven't made how the beam is refracted inside the prism.

Note : Since there is no option for "Optics" in the topic section, I have put this question under "Mechanics".

B-4, Y-3 and R-2 B-2, Y-3 and R-4 B-2, Y-4 and R-1 B-2, Y-1 and R-4

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1 solution

Chirag Jindal
Apr 1, 2014

This question is based on refraction through prism. When a white light passes through a glass prism it gets dispersed into its seven components namely Violet, Indigo, Blue, Green, Yellow, Orange and Red or simply VIBGYOR. During dispersion, Violet color bends the most and red color bends the least. So, the top most refracted ray will be Red, followed by Orange, Yellow, Green, Blue, Indigo and Violet.. In this question, incident ray consist of yellow, red and blue. There are four rays which are emerging after refraction. Here, Ray 1 is normal to the surface of prism, so it cannot be any ray. It is 90 degree. Referring to VIBGYOR, we can see that the top most ray will be Red followed by Yellow and Blue. So, Ray 2 is Red, Ray 3 is Yellow and Ray 4 is blue.

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