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The Sigma Insight: Refraction and Total Internal Reflection
The Magic of Optical Fibres
Have you ever wondered how high-speed internet reaches your home across oceans and continents in the blink of an eye? The secret lies in a hair-thin strand of glass called an optical fibre. But how does light, which usually travels in straight lines, bend and twist along these cables without escaping? Let's dive into the fascinating physics behind it.
The Anatomy of an Optical Fibre
An optical fibre is not just a simple glass tube. It is meticulously engineered with two distinct layers:
1. The Core: This is the central part of the fibre where the light actually travels. It is made of high-quality glass or plastic and has a relatively high refractive index, let's call it .
2. The Cladding: Surrounding the core is another layer of glass or plastic called the cladding. The crucial design feature here is that the cladding has a lower refractive index, , compared to the core. So, .
This difference in refractive indices sets the stage for a beautiful optical phenomenon.
The Principle
Total Internal Reflection
When a light ray enters the core, it travels until it hits the boundary between the core and the cladding. Because it is trying to move from a denser medium (the core) to a rarer medium (the cladding), it bends away from the normal.
However, if the light ray hits this boundary at a shallow enough angle—specifically, an angle of incidence that is greater than a certain threshold known as the critical angle —something magical happens. The light does not refract into the cladding at all. Instead, it acts as if the boundary is a perfect mirror and reflects back into the core.
This phenomenon is called Total Internal Reflection (TIR).
The Journey of Light
Because the optical fibre is cylindrical, once the light undergoes TIR at the first boundary, it bounces across to the opposite side and hits that boundary at the exact same angle. Since the angle is still greater than the critical angle, it undergoes TIR again.
This continuous series of total internal reflections allows the light to zigzag its way down the entire length of the fibre, even if the fibre is bent or twisted. Because the reflection is 'total', there is virtually no loss of light energy, allowing signals to travel for kilometers without degrading.
Therefore, the fundamental principle that makes optical fibres work is Total Internal Reflection.
Similar Questions
JEE Main 2019
LEVELJEE Advanced
In figure, the optical fibre is m long and has a diameter of m. If a ray of light is incident on one end of the fibre at angle , the number of reflections it makes before emerging from the other end is close to (refractive index of fibre is 1.31 and )
(A)
55000
(B)
66000
(C)
45000
(D)
57000
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A ray of light travelling in a transparent medium falls on a surface separating the medium from air at an angle of incidence . The ray undergoes total internal reflection. If is the refractive index of the medium with respect to air, select the possible value (s) of from the following
* Multiple Correct Options
(A)
1.3
(B)
1.4
(C)
1.5
(D)
1.6
JEE Main 2021
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A ray of light passes from a denser medium to a rarer medium at an angle of incidence . The reflected and refracted rays make an angle of with each other. The angle of reflection and refraction are respectively and . The critical angle is given by
(A)
(B)
(C)
(D)
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A ray of light from a denser medium strikes a rarer medium at an angle of incidence (see figure). The reflected and refracted rays make an angle of with each other. The angles of reflection and refraction are and . The critical angle is
(A)
(B)
(C)
(D)
JEE Main 2004
LEVELJEE Main
White light is incident on the interface of glass and air as shown in the figure. If green light is just totally internally reflected then the emerging ray in air contains.
(A)
yellow, orange, red
(B)
violet, indigo, blue
(C)
all colours
(D)
all colours except green
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When a ray of light enters a glass slab from air
(A)
its wavelength decreases
(B)
its wavelength increases
(C)
its frequency increases
(D)
neither its wavelength nor its frequency changes
JEE Advanced 2010
LEVELJEE Advanced
A ray of monochromatic light is incident on the face of prism near vertex at an incident angle of (see figure). If the refractive index of the material of the prism is , which of the following is (are) correct?
* Multiple Correct Options
(A)
The ray gets totally internally reflected at face
(B)
The ray comes out through face
(C)
The angle between the incident ray and the emergent ray is
(D)
The angle between the incident ray and the emergent ray is
JEE Advanced 1985
LEVELJEE Main
A monochromatic beam of light of wavelength in vacuum enters a medium of refractive index . In the medium its wavelength is ......, and its frequency is ......
JEE Advanced 2019
LEVELJEE Advanced
A monochromatic light is incident from air on a refracting surface of a prism of angle and refractive index . The other refracting surface of a prism is coated by a thin film of material of refractive index as shown in figure. The light suffers total internal reflection at the coated prism surface for an incidence angle of . The value of is_________.
LEVELJEE Main
A beam of light consisting of red, green and blue colours is incident on a right-angled prism. The refractive indices of the material of the prism for the above red, green and blue wavelengths are 1.39, 1.44 and 1.47 respectively. The prism will
(A)
separate the red colour from the green and blue colours
(B)
separate the blue colour from the red and green colours
(C)
separate all the three colours from one another
(D)
not separate even partially any colour from the other two colours.
