What is the maximum angle a light ray can make with the wall of the core if it is to remain inside the fiber?

The glass core of an optical fiber has an index of refraction 1.62. The index of refraction of the cladding is 1.48.
What is the maximum angle a light ray can make with the wall of the core if it is to remain inside the fiber?

You are asking about the critical angle which varies according to the refraction index of the material, and the surrounding air or sheathing material. the formula is theta = sin ^-1 (n1/n2) where n1 is the index of the cladding material and n2 the index of the conducting core

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