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

(no overlap.)

Explanation:

Let

Also:

Note that to achieve total internal reflection, . In other words, . That's a hint for distinguishing between the two media.

By Snell's Law,

.

Rearrange this equation to obtain:

.

At the smallest that ensures total internal reflection, .

Accordingly, . Hence, the equation from Snell's Law would become

.

The angle of incidence should be between and . On that range, would be strictly increasing. To compare the

In this question,

Rank of from largest to smallest: .

Rank of from largest to smallest .

Rank of from largest to smallest .

false br