$A$ ray of light passes through an equilateral prism such that the angle of incidence is equal to the angle of emergence,and each of these angles is equal to $\left(\frac{3}{4}\right)^{th}$ of the angle of the prism. The angle of deviation is: (in $^{\circ}$)

The principal section of a glass prism is an isosceles triangle $ABC$ with $AB = AC$. The face $AC$ is silvered. $A$ ray of light is incident normally on the face $AB$ and after two reflections, it emerges from the base $BC$ perpendicular to the base. The angle $BAC$ of the prism is: (in $^{\circ}$)

$A$ thin prism of refracting angle $2^o$ deviates an incident ray through an angle of $1^o$. Find the value of the refractive index of the material of the prism.

The curve of angle of incidence versus angle of deviation shown has been plotted for a prism. The value of the refractive index of the prism used is:

$A$ prism of refractive index $\mu$ and angle of prism $A$ is placed in the position of minimum angle of deviation. If the minimum angle of deviation is also $A$, then the value of $A$ in terms of refractive index $\mu$ is ..... .

$A$ prism of angle $A=1^{\circ}$ has a refractive index $\mu=1.5$. $A$ good estimate for the minimum angle of deviation (in degrees) is close to $N/10$. The value of $N$ is......