what is the minimum value of refractive index of prism for ITR in the figure shown.

Asked by Jerin Shaji | 8th Jun, 2017, 09:52: PM

Expert Answer:

 
begin mathsize 12px style Let space the space refractive space index space of space the space material space of space the space prism space be space straight n.
From space the space geometry space of space the space figure comma space straight i equals 45 degree
For space minimum space refractive space index space the space light space should space be space just space totally space internally space reflected. space
Therefore comma space straight r equals 90 degree
therefore nsin 45 equals 1 cross times sin 90 equals 1
therefore straight n equals fraction numerator 1 over denominator sin 45 end fraction equals fraction numerator 1 over denominator begin display style bevelled fraction numerator 1 over denominator square root of 2 end fraction end style end fraction equals square root of 2
Hence comma space the space minimum space value space of space refractive space index space is space 1.41 end style

Answered by Romal Bhansali | 9th Jun, 2017, 10:51: AM