1.

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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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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