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Show that if A gt A_(max) (=C C), theninternal reflection occursat secondrefracting surfacePR of the prism for anyvalue of 'I'. |
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Answer» Solution :For `T.I.R`at secondsurface `r'gtCrArr(A-r)gt C` or`A gtV + C` or `A gt 2C` (j) On the BASIC of above examples and similar reasoning, it can be shown that(you should trythe following cases (ii) and (iii) yourself.) (i) If `A gt 2C`, all rays are reflected back from the secound surface. (ii) If `AleC`, no rays are reflectedback fromthe secoundsurface i.e., all rays are refracted from secondsurface. (iii) If `2C ge A gtC`, no rays are reflectedback form the secondsurface and somerays are refractedfrom second surface, dependingon the angle of incidience. (k) `DELTA` si MAXIMUM for two values of `i` `rArr i_(min)` (corresponding to `e = 90^(@)`) and `i = 90^(@)` (corresponding to `e_(min)`) For `i_(min) : n_(S) sin i_(min) = n_(0) sin (A-C)` If `i it i_(min)` then `T.I.R` takes place at secondrefractingsurface `PR`
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