An optical fiber consists of an outer "cladding" layer and an inner core with a slightly higher index of refraction. light rays entering the core are trapped inside by total internal reflection and forced to travel along the fiber (see the following figure). suppose the cladding has an index of refraction of 1.46 and the core has an index of refraction of 1.48.calculate the largest angle between a light ray and the longitudinal axis of the fiber for which the ray will be totally internally reflected at the core/cladding boundary.

You are the coordinator for a program that is going to take place at night in a rectangular amphitheater in the mountains. you will have no access to any electricity, but you must be able to illuminate the entire grounds. you know the intensity of the light from a lantern varies inversely as the square of the distance from the lantern. suppose the intensity is 90 when the distance is 5 m. a. write an equation to model the situation. b. solve for the constant of variation. c. write the equation to model the situation using the constant () of variation. d. you have been given lanterns with 40 light intensity. use your equation to solve for the distance from the lantern. e. you need to illuminate 225 km. how many meters do you need to light? f. how many lanterns will you need?