A diamond is cut such that the angle between its top surface and its bottom surface is αα . For α=45∘α=45∘ , find the largest possible value of the incident angle θaθa such that the blue light is totally internally reflected off the bottom surface.

Answers

The largest possible value of the incident angle to undergo the total internal reflection is 61.04 degrees.

The angle between the top surface and bottom surface of the diamond is α=45∘.

The given problem will utilize Snell’s law for the solution. As per Snell’s law, the ratio of the sine of the angle of incidence and sine of the angle of refraction is equal to the ratio of refracted index and incident index.

As per Snell’s law,

sin i / sin r = n’ / n

n’ is the refractive index of a diamond. (n’ =2.45)

n is the refractive index of air. (n = 1)

Thus, the required largest possible value of the incident angle to undergo the total internal reflection is 61.04 degrees.

incident angleto undergo the total internal reflection is 61.04 degrees.Snell’s lawfor the solution. As per Snell’s law, the ratio of the sine of the angle of incidence and sine of the angle of refraction is equal to the ratio ofrefracted indexand incident index.Snell’s law,incident angleto undergo the total internalreflectionis 61.04 degrees.Snell’s lawhere: https://brainly.com/question/1278278