Question

I got the answer 1/√2 but it's answer is √3/√2​

Answer 1

Here, μ is the refracting index.

Ray makes 30° with the surface.

So, it makes 60° with the normal N.

Now,

i = angle of incidence = 60°

r = angle of refraction = 45°

Therefore,

$μ = \frac{sin \: i}{sin \: r} = \frac{sin \: {60}^{0} }{sin \: {45}^{0} } = \frac{ \frac{ \sqrt{3} }{2} }{ \frac{ 1 }{ \sqrt{2} } } = \sqrt{ \frac{3}{2} }$

Hope It Helps :)

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