At the minimum deviationDm, the refracted ray inside the prisma)become...
When a ray of light suffers minimum deviation through a prism. Angle of incidence is equal to the angle of emergence. Ray of light passing through the prism is parallel to the base of the prism. Angle of refraction inside the material of prism is equal to half the angle of prism.
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At the minimum deviationDm, the refracted ray inside the prisma)become...
Explanation:
When a ray of light enters a prism, it undergoes refraction (bending) due to the change in the speed of light in different mediums. The amount of bending depends on the angle of incidence and the angle of refraction. The angle of deviation is the angle between the incident ray and the emergent ray.
The minimum deviation (Dm) occurs when the angle of deviation is at its minimum value. At this point, the refracted ray inside the prism becomes parallel to its base.
Reasoning:
To understand why the refracted ray becomes parallel to the base at minimum deviation, we need to consider the behavior of light when it passes through a prism.
1. When a ray of light enters a prism, it bends towards the base of the prism due to refraction.
2. The angle of incidence (i) and the angle of refraction (r) are related by Snell's law: n1sin(i) = n2sin(r), where n1 and n2 are the refractive indices of the mediums.
3. As the angle of incidence increases, the angle of refraction also increases, causing the ray to bend more towards the base of the prism.
4. At a certain angle of incidence, the angle of refraction becomes equal to the angle of emergence, resulting in the refracted ray being parallel to the base.
5. This angle of incidence is known as the angle of minimum deviation (Dm) and is denoted by the symbol i(min).
6. At minimum deviation, the angle of incidence is equal to the angle of emergence, i(min) = e(min).
7. Since the angle of incidence and the angle of emergence are equal, the refracted ray inside the prism becomes parallel to the base.
Conclusion:
At minimum deviation, the refracted ray inside the prism becomes parallel to its base. This occurs when the angle of incidence is equal to the angle of emergence. Understanding the concept of minimum deviation and how it affects the behavior of light inside a prism is important in the study of optics and the behavior of light.