Question:

You are given four sources of light each one providing a light of a single colour - red, blue, green and yellow. Suppose the angle of refraction for a beam of yellow light corresponding to a particular angle of incidence at the interface of two media is $90^{\circ}$. Which of the following statements is correct, if the source of yellow light is replaced with that of other lights without changing the angle of incidence?

Updated On: Jul 7, 2022
  • The beam of red light would undergo total internal reflection
  • The beam of red light would bend towards normal while it gets refracted through the second medium
  • The beam of blue light would undergo total internal reflection
  • The beam of green light would bend away from the normal as it gets refracted through the second medium
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The Correct Option is C

Solution and Explanation

Here, for yellow light, $r = 90^{\circ}$ when $i = C$. As $i$ is kept same, $C$ must be smaller for total internal reflection. From $\mu =\frac{1}{sin\,C} , C$ will be smallest for blue colour. Therefore, blue light would undergo total internal reflection.
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Concepts Used:

Ray Optics and Optical Instruments

Optics, deals with the determination of behaviour and the properties of light, along with its interactions with the matter and also with the instruments that are used to detect it.

Ray optics is also known as the geometrical optics and it is a branch of science which describes light propagation.

Reflection is the change in direction of light at an interface in-between two different media so that the wave-front returns into a medium from which it was originated.

Speed of light is the rate at which the light travels in free space.

A phenomenal change in image formed when the light is passed from one medium to another which is called Refraction.

Total Internal Reflection is the reflection of light when the light ray enters into a rarer medium from a denser medium and the angle of incidence is higher than the critical angle of incidence then that light ray will be reflected back to the denser medium.

Read More: Ray Optics and Optical Instruments