In each case below, calculate the angle of reflection and refraction for the giv

Question

In each case below, calculate the angle of reflection and refraction for the given values of 1 and n2. Part (a) uses values within the range of the sliders, and you can use the animation to verify your calculation. Part (b) uses values outside the slider ranges.

a) Let the angle of incidence be 55° and the transmitted region have index of refraction n2 = 1.61.

Angle of reflection = 55 °

Angle of refraction = ?

b) Let the angle of incidence be 55° and the transmitted region be diamond with n2 = 2.42.

Angle of reflection = 55 °

Angle of refraction = ?

Exercise In each case below, calculate the angle of reflection and refraction for the given values of 01 and n2. Part (a) uses values within the range of the sliders, and you can use the animation to verify your calculation. Part (b) uses values outside the slider ranges. a) Let the angle of incidence be 55 and the transmitted region have index of refraction n2- 1.61. Angle of reflection Angle of refraction Your response differs from the correct answer by more than 10%. Double check your calculations b) Let the angle of incidence be 55 and the transmitted region be diamond with n 2.42. Angle of reflection Angle of refraction 84.7 Your response differs from the correct answer by more than 100%.

Explanation / Answer

Using Snell's law,

we have,

sini/sinr = n2/n1, n1 = 1 (for air), n2 = 1.61

or, sin55o/sinr = 1.61

or, r = 30.58o, is the angle of refraction.

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again for n2 = 2.42

sin55o/sinr = 2.42

or, sinr = sin55o/2.42

or, r = 19.780 is the angle of refraction.

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This concludes the answers. Check the answer and let me know if it's correct. If you need any more clarification, modification or correction, feel free to ask.....

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