question_answer

A ray of light falls on a   transparent, right-angled isosceles prism made from a glass of refractive index\[\sqrt{2}\]. The incident ray falls normally on one of the equal sides of this prism. The ray will suffer

A)  total internal reflection

B)  Interference

C)  refraction with angle of refraction\[90{}^\circ \]

D)  None of the above                      

Correct Answer: C

Solution :

                Let the critical angle for air glass pair of media is given by c. Therefore, \[\mu =\frac{1}{\sin C},\sqrt{2}=\frac{1}{\sin C}\Rightarrow C=45{}^\circ \] By geometry, angle of incidence at hypotenuse surface of transparent right-angled isosceles prism is\[45{}^\circ \]. Therefore, \[i=c=45{}^\circ \] Thus, total internal reflection doesnt occur as\[i\]is not\[>c\]. And. angle of refraction is\[90{}^\circ \].