Relation Between Angle of Prism and Angle of Deviation, Refractive Index of Materials

Physics

result

Factors affecting the angle of deviation

Angle of deviation depends on:
  1. Angle of incidence .
  2. Material of prism i.e. .
  3. Angle of prism .
  4. Colour of wavelength used

example

Calculate angle of minimum deviation of light ray passing through prism

The Angle of Deviation is the angle equal to the difference between the angle of incidence and the angle of refraction of a ray of light passing through the surface between one medium and another of different refractive index.

Example: A prism has a refractive index and refracting angle . Find the minimum deviation produced by prism.

Solution:
At minimum deviation,
And,


definition

Minimum angle of deviation for a prism

At the minimum deviation , the refracted ray inside the prism becomes parallel to its base.
i.e
Then
and
where is the angle of incidence,
is the angle of emergence.
are the angles of refraction and is the angle of the prism.

definition

Terms related to prism

Angle of prism: The angle between the two sides of the reflecting faces of prism is called angle of prism.
Angle of deviation (): Angle between the incident ray and the emergent ray is called the angle of deviation.

shortcut

Factors affecting on angle of deviation

Angle of deviation () is the angle between emergent ray and incident ray. 
 

  1. Angle of incidence

  2. Refractive angle of the prism

  3. Refractive index of the prism material

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