A ray of light of pure single color is incident at an angle of incidence ${45}^{\circ }$ on the face of a prism having angle of the prism ${60}^{\circ }$. The refracted ray emerges out of the prism by undergoing minimum deviation. Find the refractive index of the prism.

Q. 10.A ray of light incident at an angle of 60^° on one face of Prism whose angle of Prism is 30^° . The ray emerging out of the Prism makes an angle 30^° with incident Ray. Show that emergent ray is perpendicular to the face through which it emerges and calculate the refractive index of the material of Prism.

Q. A ray of light is incident at an angle of incidence ${45}^{\circ }$ on the face of a prism having angle of the prism ${30}^{\circ }$. The refracted ray does not change its direction as it crosses the other face and emerges out of the prism. Find:
(a) the refractive index of the material of the prism and
(b) the angle of deviation.

Q. The angle of incidence for a ray of light at a refracting surface of a prism is ${45}^o$. The angle of prism is ${60}^o$. If the ray suffers minimum deviation through the prism, the angle of minimum deviation and refractive index of the material of the prism respectively, are

Q. A ray of light is incident at an angle of ${60}^{\circ }$ on one face of a prism which has refracting angle of ${30}^{\circ }$. The ray emerging out of the prism makes an angle of ${30}^{\circ }$ with the incident ray. If the refractive index of the material of the prism is $\mu =\sqrt{a}$, find the value of $a$.

Q. A ray of light is incident on a ${60}^{\circ }$ prism at the minimum deviation position. The angle of refraction at the first face (i.e., incident face) of the prism is