Solution Found!
A ray of light enters the long side of a 45°–90°–45° prism
Chapter 26, Problem 62P(choose chapter or problem)
A ray of light enters the long side of a \(45^{\circ}-90^{\circ}-45^{\circ}\) prism and undergoes two total internal reflections, as indicated in Figure 26–49. The result is a reversal in the ray’s direction of propagation. Find the minimum value of the prism’s index of refraction, n, for these internal reflections to be total.
Equation Transcription:
Text Transcription:
45°-90°-45°
Questions & Answers
QUESTION:
A ray of light enters the long side of a \(45^{\circ}-90^{\circ}-45^{\circ}\) prism and undergoes two total internal reflections, as indicated in Figure 26–49. The result is a reversal in the ray’s direction of propagation. Find the minimum value of the prism’s index of refraction, n, for these internal reflections to be total.
Equation Transcription:
Text Transcription:
45°-90°-45°
ANSWER:Step 1 of 2
In the given problem, we need to calculate the refractive index of prism in which the light rays undergoes total internal reflections and the critical angle is given to be .
Let the refractive index of prism and air is and
.