Finding the Angle of Incidence for Light Inside a Prism

AI Thread Summary
A ray of light entering an isosceles right triangle prism perpendicularly at 0 degrees will travel towards the hypotenuse. The index of refraction for the prism is 1.4, and the critical angle calculated is 45 degrees. If the light strikes the hypotenuse at an angle less than this critical angle, it will pass through rather than reflect. To find the angle of incidence for the ray inside the prism, further calculations are necessary. Understanding these principles is crucial for predicting the light's behavior within the prism.
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a ray of light enters a prism in the shape of an isosceles right triangle perpendicular to its surface. the light enters through one of the legs and the index of refraction of the prism's constituents is 1.4. where will the light go as it enters the prism?

the light enters at 0 degrees. It goes to the hypotenuse. Can someone draw me the picture of how it looks like? If it strikes less than the critical angle, then the light will pass through. But how do I find the critical angle?
 
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so i used the equation:

1.4sinx = 1sin90
so the critical angle is x = 45 degrees

But how do I find the angle of incidence for the ray inside the prism?
 
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