In the figure a ray of light is perpendicular to the face ab of a glass prism (n

Question

In the figure a ray of light is perpendicular to the face ab of a glass prism (n = 1.43). Find the largest value for the angle ? so that the ray is totally reflected at the face ac if the prism is immersed in air.

Find the largest value for the angle ? o that the ray is totally reflected at the face ac if the prism is immersed in water.

In the figure a ray of light is perpendicular to the face ab of a glass prism (n = 1.43). Find the largest value for the angle ? so that the ray is totally reflected at the face ac if the prism is immersed in air. Find the largest value for the angle ? o that the ray is totally reflected at the face ac if the prism is immersed in water.

Explanation / Answer

The largest value of ? occurs when the ray hits ac at the critical angle.
From the geometry of the problem, the critical angle occurs for cos x = 1/1.43
79.6 deg

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