Three prisms $1, 2,$ and $3$ have a prism angle $A = 60^{\circ}$. Their refractive indices are $1.4, 1.5,$ and $1.6$ respectively. If $\delta_1, \delta_2,$ and $\delta_3$ are their angles of deviation,then:

$A$ light ray is incident at an angle $\theta$ on the refracting surface of a prism and emerges normally from the other surface. If the prism angle is $5^{\circ}$ and the refractive index of the material of the prism is $1.5$,then the angle of incidence is ...$^{\circ}$.

$A$ thin prism of angle $15^o$ made of glass of refractive index $\mu_1 = 1.5$ is combined with another prism of glass of refractive index $\mu_2 = 1.75$. The combination of the prisms produces dispersion without deviation. The angle of the second prism should be ......$^o$

If one face of a prism of prism angle $30^{\circ}$ and refractive index $\mu = \sqrt{2}$ is silvered,the incident ray retraces its initial path. The angle of incidence is.......$^{\circ}$

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 :

$A$ prism of refractive index $\sqrt{2}$ and refracting angle $A$ produces a minimum deviation $D_m$. $A$ ray incident on one face at an angle of incidence $i = 45^{\circ}$ undergoes minimum deviation. The values of $A$ and $D_m$ are respectively: