Answer this one

Dear Student'
Please see below figure.

Here as given deviation of refle ted and refracted ray is equal. So let's take it x.

Now apply geometry, we can find angle of refraction is 45.

mu equals fraction numerator sin space 75 over denominator sin space 45 end fraction space equals fraction numerator sin space left parenthesis 45 plus 30 right parenthesis over denominator begin display style bevelled fraction numerator 1 over denominator square root of 2 end fraction end style end fraction mu equals space square root of 2 open square brackets sin space 45 space cos space 30 space plus cos space 45 space sin space 30 close square brackets mu equals space square root of 2 open square brackets fraction numerator 1 over denominator square root of 2 end fraction space fraction numerator square root of 3 over denominator 2 end fraction space plus fraction numerator 1 over denominator square root of 2 end fraction space space 1 half close square brackets mu equals space square root of 2 open square brackets fraction numerator square root of 3 plus 1 over denominator 2 square root of 2 end fraction space close square brackets mu equals space open square brackets fraction numerator square root of 3 plus 1 over denominator 2 end fraction space close square brackets
Regards

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