$A$ prism is made up of material of refractive index $\sqrt{3}$. The angle of the prism is $A$. If the angle of minimum deviation is equal to the angle of the prism,then the value of $A$ is: (in $^{\circ}$)

The angle of minimum deviation is equal to the angle of the equilateral prism. At what angle of incidence $i$ will this minimum deviation occur?

$A$ thin prism of angle $5^{\circ}$ is placed at a distance of $10\,cm$ from an object. What is the distance of the image from the object? (Given refractive index $\mu$ of prism $= 1.5$)

Obtain the relation between incidence angle,emergence angle,prism angle,and deviation angle for refraction through a prism.

$A$ ray of monochromatic light is incident on one refracting face of a prism of angle $75^o$. It passes through the prism and is incident on the other face at the critical angle. If the refractive index of the material of the prism is $\sqrt{2}$,the angle of incidence on the first face of the prism is.......$^o$.

An isosceles glass prism $\left( \mu = \frac{3}{2} \right)$ has one of its equal faces coated with silver. $A$ ray is normally incident on the other face and is reflected twice and then emerges through the base of the prism perpendicular to it,as shown in the figure. Find the angle $\theta$ of the prism in degrees. (in $^{\circ}$)