Question

Вычислите с точностью до десятых угол полного внутреннего отражения при переходе из среды с показателем преломления 1.71 в воздух

Answer 1

При полном внутреннем отражении
sin a/sin 90 = 1/n
sin a = 1/1,71=0,5847953
a = 35 градусов 41 минута ( проверьте на программированном калькуляторе)

Answer 2

Calculating the Angle of Total Internal Reflection

To calculate the angle of total internal reflection when transitioning from a medium with a refractive index of 1.71 to air, we can use the formula:

Critical angle (θc) = sin^-1(1/n)

Where: - θc = critical angle - n = refractive index of the medium

Given that the refractive index of the medium is 1.71, we can calculate the critical angle as follows:

Critical angle (θc) = sin^-1(1/1.71)

Let's calculate this.

 
Critical angle (θc) = sin^-1(1/1.71)

Calculation

Critical angle (θc) ≈ 41.8 degrees

The angle of total internal reflection when transitioning from a medium with a refractive index of 1.71 to air is approximately 41.8 degrees.