You have four plastic containers filled with different substances. Without opening them, find out as much as you can about these four substances.
Hmmm... there's mass -> density, magnetic properties, optical properties (insert the slew of imaging modalities like MRI, CT, maybe X-ray, tomographies...)
The prof who posed this question heads a lab that does research on sensors and actuators with biomedical applications, and apparently he's also some kind of geologist and mountaineer and mariner and space explorer, so...
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