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Magazine Chapter 5: Q42P (page 1107)
A ray of light travelling in air is incident at angle uaon one face of a prism made of glass. Part of the light refracts into the prism and strikes the opposite face at point A(Fig. P33.42). If the ray at Ais at the critical angle, what is the value of?
Short Answer
the index of refraction is 1.305
the critical angle is 57.05掳
Step by step solution
About Critical angle
The critical angle is the angle of incidence where the angle of refraction is 90掳. The light must travel from an optically more dense medium to an optically less dense medium.
Determine the index of refraction
We have the following prism with incident ray at an angle of 0鈥� from the normal to the prism surface. Since the prism is
having an angle of 90掳 at point c In triangle ABC A CBA would be 50掳 and A CAB would be 40掳- 80 We can see that ray will
have an incidence angle of 50 掳 at face AC. question is saying that at point A light is getting total internal re?ection so angle
after refraction Would be 90掳 -
Assume the index of refraction of prism equal to n- Apply the Snell's Law at point A-
Therefore the index of refraction is 1.305
Determine the Critical angle
Now we got the index of refraction of prism apply Snell's Law again at point B to get the value of 00-
Therefore the critical angle is 57.05掳
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