A material with an unknown refractive index was used in the core of the optical fiber shown in the figure, and a material with a refractive index of n = 1.39 was used in the sheath. Optical fibers with these properties are frequently used in communication optical applications.
Since the maximum angle that will allow the light rays coming to the fiber face in the air environment to fall on the fiber sheath at a critical angle by breaking the fiber (transmitted component) is 36.16, find the refractive index of the material used in the fiber core.

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A material with an unknown refractive index was used in the core of the optical fiber shown in the figure, and a material with a refractive index of n = 1.39 was used in the sheath. Optical fibers with these properties are frequently used in communication optical applications.

Since the maximum angle that will allow the light rays coming to the fiber face in the air environment to fall on the fiber sheath at a critical angle by breaking the fiber (transmitted component) is 36.16, find the refractive index of the material used in the fiber core.

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