Step 1: Identify what the Snell's law example is doing in the passage.
After stating Mayo's abstract idea, that a claim is validated only by a severe test, the author immediately gives a concrete case: a rough experiment on Snell's law, and a classroom exercise where students' loose measurements let ancient, wrong laws of refraction pass the same test. The author uses this real teaching episode purely to make the abstract idea easy to follow.
Step 2: Match this purpose to the right word.
When a writer uses a concrete story or example specifically to make an abstract idea clear, that use is called illustrative, it illustrates, or shows in a picture-like way, a point already being made. The passage explicitly says the exercise 'serves to drive this point home', which directly states that its purpose is to clarify.
Step 3: Rule out the other options.
Option 1, contrived, would mean the example was artificially forced or unnatural, but the author describes it as something that actually happened in his own school-teaching days, so it is a genuine anecdote, not a forced one.
Option 2, premeditated, would mean the example was planned in advance with some hidden intent; the passage gives no hint of any such planning or ulterior motive, it simply recounts a teaching exercise.
Option 3, superfluous, would mean the example was unnecessary or added extra detail with no real purpose; but the example is exactly what makes Mayo's abstract idea concrete and understandable, so it serves a real, needed purpose.
The official fifth option, inadequate, would mean the example failed to make its point; but the passage shows the example fully succeeding, since the students clearly grasped why a rough test cannot validate a claim, so it is not inadequate.
Step 4: Final Answer.
Because the Snell's law example is used purely to make Mayo's abstract idea concrete and understandable, and does so successfully, the best description of its use is illustrative.
\[ \boxed{\text{Option 4}} \]