$A$ light ray is incident on a prism of prism angle $60^{\circ}$ such that it undergoes minimum deviation. If the refractive index of the prism is $\sqrt{2}$,then the angle of incidence is .......$^{\circ}$.

The ratio of the angle of minimum deviation of a prism in air to that when it is dipped in water is (given $_a\mu_g = 3/2$ and $_a\mu_w = 4/3$).

The refractive index of glass for red light is $1.520$ and for blue light is $1.525$. Suppose the deviations of red and blue light in a prism of this glass are $D_1$ and $D_2$ respectively. Then .....

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 $^{\circ}$)

The refracting angle of a glass prism is $30^{\circ}$. $A$ ray is incident on one of the faces and is perpendicular to it. The angle of deviation $\delta$ between the incident ray and the ray that leaves the prism is (Refractive index of glass $= 1.5$) (Given: $\sin(30^{\circ}) = 0.5, \sin(48.6^{\circ}) = 0.75$). (in $^{\circ}$)

Given below are two statements :
Statement $I$ : When white light is passed through a prism,the red light bends less than yellow and violet light.
Statement $II$ : The refractive indices are different for different wavelengths in a dispersive medium.
In the light of the above statements,choose the correct answer from the options given below :