Q. 21

For a glass prism the angle of minimum deviation is equal to the angle of the prism. Find the angle of the prism.

Answer :

The angle of prism is.


Given:


The refractive index of the glass prism is equal to , the angle of minimum deviation ( = angle of prism (, to find the relation between the minimum deviation and refractive index of the prism so as to get the value of angle of prism.


Formula Used:


To find the angle of the prism we use the Snell’s Law which states that the relation between the angle of incidence and angle of refraction on two different medium, when a ray of light is passed through them. Snell’s Law is described in terms of sine value of angle of incidence and refraction, which is equal to the value of refractive index of the prism.



where


is the refractive index of the prism, i is the angle of incidence, r is the angle of incidence, A is the angle of prism and is the minimum deviation angle of the prism.


Explanation:



As given in the question the angle of minimum deviation ( = angle of prism (


( =







Therefore, the angle of the prism (A) is


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