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Introduction
When light travels from an optically denser medium to an optically rarer medium, its speed increases in the second medium and the refracted ray bends away from the normal.
For refraction between two media, Snell’s law is: n1sin i = n2sin r
For denser to rarer transition, n1 > n2, so the refracted angle is greater than the angle of incidence.
Definition: Rarer Medium
A rarer medium is a medium in which light travels faster and whose refractive index is lower compared with the denser medium.
Definition: Critical Angle
The critical angle is the angle of incidence in the denser medium for which the angle of refraction in the rarer medium becomes 90 degrees.
If i = ic, then the refracted ray travels along the boundary surface.
Definition: Total Internal Reflection
Total internal reflection is the complete reflection of light back into the denser medium when light travels from a denser to a rarer medium, and the angle of incidence becomes greater than the critical angle.
Derivation of critical angle
At the critical angle,
- angle of incidence = ic
- angle of refraction = 90°.
Using Snell’s law,
Since sin 90∘ = 1,
Therefore,
Condition flow
| Condition | Result | Meaning |
|---|---|---|
| (i < ic) | Refraction occurs | Light passes from the denser medium into the rarer medium. |
| (i = ic) | r = 90° | The refracted ray grazes along the surface. |
| (i > ic) | Total Internal Reflection (TIR) | No refracted ray enters the rarer medium; the light is completely reflected back into the denser medium. |
Related QuestionsVIEW ALL [6]
| A ray of light travels from a denser to a rarer medium. After refraction, it bends away from the normal. When we keep increasing the angle of incidence, the angle of refraction also increases till the refracted ray grazes along the interface of two media. The angle of incidence for which it happens is called critical angle. If the angle of incidence is increased further the ray will not emerge and it will be reflected back in the denser medium. This phenomenon is called total internal reflection of light. |
For which of the following media, with respect to air, the value of critical angle is maximum?
| A ray of light travels from a denser to a rarer medium. After refraction, it bends away from the normal. When we keep increasing the angle of incidence, the angle of refraction also increases till the refracted ray grazes along the interface of two media. The angle of incidence for which it happens is called critical angle. If the angle of incidence is increased further the ray will not emerge and it will be reflected back in the denser medium. This phenomenon is called total internal reflection of light. |
A ray of light travels from a medium into the water at an angle of incidence of 18°. The refractive index of the medium is more than that of water and the critical angle for the interface between the two media is 20°. Which one of the following figures best represents the correct path of the ray of light?
