the refracting angle of a glass prism of refractive index 1 45 is 60 degrees At what angle should - Physics - Ray Optics And Optical Instruments

Question

the refracting angle of a glass prism of refractive index 1 45
is 60 degrees At what angle should a light ray be incident at the
first face of the at prism so that it emerges at the second face
just parallel to the face??

Jyoti Pant · Accepted Answer

Given,
ng=1
45A=600i=?e=900In this case,r2=C (Critical angle)sin C=1ng=sin r2=11
45----(i)Also,sin isin r1=ng=1 45Thus, sin i=1
45×sin r1But r1+r2=A=600or r1=600-r2Thus,sin i=1
45×sin (600-r2)Expanding the above and using (i), we geti=sin-1[1
45×sin6001-11 452-cos 600]=sin-1(0 4)

the refracting angle of a glass prism of refractive index 1.45 is 60 degrees. At what angle should a light ray be incident at the first face of the at prism so that it emerges at the second face just parallel to the face??