Answer :
Given:
The incident angle is,
[tex]i=48\degree[/tex]The refracted angle is
[tex]r=27\degree[/tex]The refractive index of the first medium is,
[tex]n_1=1.00[/tex]To find:
The refractive index of the second medium
[tex]n_2[/tex]Explanation:
According to Snell's law,
[tex]\begin{gathered} n_1sini=n_2sinr \\ n_2=\frac{n_1sini}{sinr} \end{gathered}[/tex]Substituting the values we get,
[tex]\begin{gathered} n_2=\frac{1.00\times sin48\degree}{sin27\degree} \\ =1.64 \end{gathered}[/tex]Hence, the refractive index of the second medium is 1.64.