Need some help please clearly show equations and process thats all i need make s

Question

Need some help please clearly show equations and process thats all i need make sure to check your answers with the answers given to ensure that your correct

Light enters a solid pipe made of plastic having an index of refraction of 1.57. The light travels parallel to the upper part of the pipe (shown in the figure below). You want to cut the face AB so that all the light will reflect back into the pipe after it first strikes that face. What is the largest that theta can be if the pipe is in air? 39.56 If the pipe is immersed in water of refractive index 1.33, what is the largest that theta can be? 0

Explanation / Answer

The angle for total internal reflection is
?c = arcsin(n2/n1)

in the case where n2 = 1 (air)
?c = arcsin(1/1.57) = 36.6

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