For the scenarios in which total internal reflection is possible, rank the scenarios on the basis of the critical angle, the angle above which total internal reflection occurs. At this angle, the refracted ray is at 90 degrees from the normal. Rank from largest to smallest. To rank items as equivalent, overlap them.
ITEM A: n1benzene =1.50 n2water =1.33
ITEM B: n1diamond =2.42 n2water =1.33
ITEM C: n1diamond =2.42 n2air =1.00
ITEM D: n1water =1.33 n2air =1.00
Answers: 2
(no overlap.) 
be the angle of incidence, and
be the angle of refraction.
be the index of refraction for the medium where the light comes from. Let 
be the index of refraction of the medium which the light enters after refraction.
. In other words, 
. That's a hint for distinguishing between the two media.
.
.
.
. Hence, the equation from Snell's Law would become
.
and 
. On that range, 
would be strictly increasing. To compare the 
.Item B: 
.Item C: 
.Item D: 
.
from largest to smallest: 
Rank of 
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