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

Which of the following diagrams correctly shows the dispersion of white light by a prism?

For a prism of refractive index $1.732$,the angle of minimum deviation is equal to the angle of the prism. The angle of the prism is......$^o$

$A$ ray of light is incident at $60^{\circ}$ on one face of a prism of angle $30^{\circ}$ and the emergent ray makes $30^{\circ}$ with the incident ray. The refractive index of the prism is $(\sin 30^{\circ}=0.5, \sin 60^{\circ}=\sqrt{3}/2)$.

Consider an equilateral prism (refractive index $ \sqrt{2} $). $A$ ray of light is incident on its one surface at a certain angle $ i $. If the emergent ray is found to graze along the other surface,then the angle of refraction at the incident surface is close to . . . . . . . (in $^{\circ}$)

Find the value of the angle of emergence for an emergent ray from the prism in the figure given below. (Refractive index of the material of the prism is $\sqrt{3}$ and the refractive index of air is $1$) (in $^\circ$)