Question icon
12 grade physics others

The graph between angle of deviation and angle of incidence (i) for a triangular prism is represented by:









Profile image of Aniket Singh
1 Year agoGrade
Answers icon

1 Answer

Profile image of Askiitians Tutor Team
1 Year ago

The relationship between the angle of deviation (d) and the angle of incidence (i) for a triangular prism is typically represented by a graph called a deviation vs. incidence angle graph. This graph is used to illustrate how the angle of deviation changes as the angle of incidence varies for light passing through the prism.

In a triangular prism, when a beam of light enters the prism at an angle of incidence, it bends or refracts due to the change in the speed of light as it passes from one medium (usually air) into another (the prism material). This bending of light causes the angle of deviation, which is the difference between the angle of the emergent ray inside the prism and the angle of the incident ray outside the prism.

The relationship between the angle of deviation and the angle of incidence can be described by Snell's Law, which is given by:

n1 * sin(i) = n2 * sin(r)

Where:

n1 is the refractive index of the medium outside the prism (usually air).
n2 is the refractive index of the prism material.
i is the angle of incidence.
r is the angle of refraction (inside the prism).
The angle of deviation (d) can be calculated as the difference between the angle of emergence (e) and the angle of incidence (i):

d = e - i

The exact shape of the graph will depend on the specific values of n1 and n2, as well as the geometry of the prism. Typically, for a triangular prism, as you increase the angle of incidence, the angle of deviation will also increase, and the relationship may not be linear. The graph may show a curve, with the angle of deviation becoming larger as the angle of incidence increases.

To get a precise graph, you would need to know the refractive indices of the materials involved and the specific geometry of the prism.