An incident ray is incident at an angle 53^ on one face of a prism. It emerges at an angle of 67^ . The ray suffers a deviation of 46^ . The refractive index of the material of prism is:

Step-by-step solution

Angle of prism: i + e = A + 53° + 67° = A + 46° A = 74° Using the prism formula: e = A ^2 - ^2 i - A i Substituting values ( 53° 0.8 , 67° 0.92 , 74° 0.96 , 74° 0.28 ): 0.92 = 0.96 ^2 - 0.64 - (0.28)(0.8) 0.92 + 0.224 = 0.96 ^2 - 0.64 ^2 - 0.64 = 1.144 0.96 1.191 ^2 1.418 + 0.64 = 2.058 = 2.058 1.43