Question

A diamond is cut such that the angle between its top surface and its bottom surface is α. For α=45∘, find the largest possible value of the incident angle θa such that the blue light is totally internally reflected off the bottom surface. Express your answer in degrees to four significant figures.

Answer 1

Answer:

i = 61 degree

Explanation:

Given,

$\alpha =45^{o}$

Now, by the snell's law

$sin\theta_c=\frac{1}{n}\\sin\theta_c=\frac{1}{2.450}\\\theta_c=24.09^o$

Now,

Sin i / sin r = n 2 / n 1

sin i / sin r (45 - 24.09) = 2.45 / 1

i = 60.97 degree