Question

for an angle of incidence of 45 degree at at the top surface of a glass slab as shown in figure what is the maximum refractive index of Glass for total internal reflection

Answer 1

Answer:

The answer will be √3/2

Explanation:

According to the figure, if we apply Snell's law:

μ == sin i/sin r

Now it is stated that the angle of incidence is 45 degree

Therefore, sin r = sin i/μ  = 1/μ√2

The total internal reflection sin i1 = 1/μ  

Therefore we can also say that , i1 = 90 -r

Therefore sin(90-r) = 1/μ  

              => cos r = 1/μ  

cos r = √1- sin^2r = √1-1/2μ^2 = √2μ^2-1/2μ^2

from here we can get μ = √3/2

Answer 2

Answer:

hope it helps .

Explanation:

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