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Refraction of Light
1. Introduction to Refraction of Light

Refraction of light is the phenomenon in which light changes its direction when it travels from one
transparent medium to another.

The bending occurs only at the boundary between two media.

Refraction is observed because light travels at different speeds in different media.

Important Terms Used in Refraction

 Incident Ray: Ray falling on the surface

 Refracted Ray: Ray bending in the second medium

 Normal: Perpendicular line at the point of incidence

 Angle of Incidence (i): Angle between incident ray and normal

 Angle of Refraction (r): Angle between refracted ray and normal

Angles are always measured with respect to the normal, not the surface.

Laws of Refraction (Snell’s Laws)

First Law

The incident ray, refracted ray, and the normal at the point of incidence lie in the same plane.

Second Law

For a given pair of media: sin i/ sin r = constant

This constant is called the refractive index of the second medium with respect to the first.

Refractive Index (μ)

Definition

The refractive index of a medium is defined as:

c
μ= Where:
v
 c = speed of light in vacuum
 v = speed of light in the medium
Properties of Refractive Index

 No unit

 Always greater than 1 (except vacuum)

 Higher μ → more bending of light

 Depends on:

, o Nature of medium

o Wavelength of light

o Temperature

 Absolute and Relative Refractive Index
 Absolute Refractive Index
 Refractive index of a medium with respect to vacuum.
 Relative Refractive Index
 Refractive index of one medium with respect to another.
v1
 μ21 =
v2


Direction of Bending of Light

(a) From Rarer to Denser Medium

Example: Air → Glass

 Speed of light decreases

 Light bends towards the normal

 Angle of refraction < Angle of incidence

(b) From Denser to Rarer Medium

Example: Glass → Air

 Speed of light increases

 Light bends away from the normal

 Angle of refraction > Angle of incidence

Refraction Through a Rectangular Glass Slab

Key Observations

 Light refracts twice

o Once while entering

o Once while leaving the slab

 Emergent ray is parallel to the incident ray

Twinkling of Stars

Twinkling of stars is the apparent rapid change in the brightness and position of stars when seen
from the Earth.

This phenomenon is scientifically explained by atmospheric refraction.

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