Active Figure 22.25 Total Internal Reflection The animation below illustrates to

Question

Active Figure 22.25 Total Internal Reflection The animation below illustrates total internal reflection. Instructions: Use the sliders to adjust the angle of incidence 1 and the index of refraction for the incident medium. Readouts are provided for the angle of refraction 2 and angle of reflection 3. Explore Internal incidence occurs when the index of refraction for the incident medium is greater than that for the transmitted medium: n1 > n2 Total internal reflection occurs whenever the angle of incidence exceeds the critical angle: theta_c = text(sin)^(-1)(n_2/n_1) When total internal reflection occurs, there is no transmitted ray. This means that all of the energy in the light beam is reflected. In this case, we say that the reflection is 100%. Display in a New Window Exercise 22.AF.25 For each case below, calculate the critical angle. In part (a), the incident index of refraction is within the range of the slider, and you can use the animation to check your calculation. Part (b) uses an incident index of refraction that is outside the slider range. In each case, medium 2 is air. a) Let the incident index of refraction be 1.99. c = ° b) Let the incident index of refraction be 2.84. c = °

Explanation / Answer

Part a)     critical angle , c = sin-1(n2/n1)

                                      =   sin-1(1/1.99)

                                            = 30.166 degree

Part b)     critical angle , c = sin-1(n2/n1)

                                      =   sin-1(1/2.84)

                                            = 20.616 degree

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