A fiber optic line is composed of a core with an index of refraction of 1.51 and cladding with an index of 1.40. Which one of the following relations best describes angles of incidence $\theta$ that will result in total internal reflection within the fiber optic line? A)$\theta$ 68° C)$\theta$ 22° E)0 $\le$ $\theta$ $\le$90°

Question

A fiber optic line is composed of a core with an index of refraction of 1.51 and cladding with an index of 1.40. Which one of the following relations best describes angles of incidence $\theta$ that will result in total internal reflection within the fiber optic line? A)$\theta$< 68° B)$\theta$ > 68° C)$\theta$ < 22° D)$\theta$ > 22° E)0 $\le$ $\theta$ $\le$90°

Quizplus · Accepted Answer

The critical angle for total internal reflection can be calculated using the equation sinθc = n2/n1, where n1 is the index of refraction of the core and n2 is the index of refraction of the cladding. Plugging in the given values, we get sinθc = 1.40/1.51 ≈ 0.926. Taking the inverse sine of this value, we get θc ≈ 68°. Therefore, any angle of incidence greater than 68° will result in total internal reflection, so the best choice is B.

A Fiber Optic Line Is Composed of a Core with an Index