Which set of colours will come out in air for the situation shown in the figure?
Answer: (C) Yellow, Orange and Red. Answer: (C) Yellow, Orange and Red Solution: Refractive index varies with colour: µ is largest for violet and smallest for red (µ_V > µ_B > µ_G > µ_Y > µ_O > µ_R).

- A.Orange, Red and Violet
- B.Blue, Green and Yellow
- C.Yellow, Orange and Red✓
- D.All
Correct Answer
(C) Yellow, Orange and Red
Solution & Explanation
Answer: (C) Yellow, Orange and Red Solution: Refractive index varies with colour: µ is largest for violet and smallest for red (µ_V > µ_B > µ_G > µ_Y > µ_O > µ_R). Critical angle C = sin⁻¹(1/µ): a larger µ gives a smaller critical angle. So violet has the smallest critical angle and red the largest. At the fixed angle of incidence shown, the shorter-wavelength colours (violet, blue, green) exceed their critical angle and are totally internally reflected (stay inside), while the longer-wavelength colours with larger critical angles (yellow, orange, red) are below their critical angle and refract out into air. Hence Yellow, Orange and Red emerge into air.
