A ray of light falls on right angled isosceles prism having refractive index $\sqrt{\frac{3}{2}}$ as shown in figure

For a prism of prism angle $\theta =60°$, the refractive indices of the left half and the right half are, respectively, $n_1$ and $n_2$, $\left(n_2\ge n_1\right)$ as shown in the figure. The angle of incidence $i$ is chosen such that the incident light rays will have minimum deviation if $n_1=n_2=n=1.5.$ For the case of unequal refractive indices, $n_1=n$ and $n_2=n+∆n$ (where $∆n<<n$), the angle of emergence $e=i+∆e$. Which of the following statement(s) is(are) correct?

A rectangular block is composed of three different glass prisms (with refractive indices ${\mu }_1, {\mu }_2 \mathrm{a}\mathrm{n}\mathrm{d} {\mu }_3$ ) as shown in the figure below. A ray of light incident normal to the left face emerges normal to the right face. Then the refractive indices are related by