You design the experiment. You set up the experiment. You perform the measurement and analysis.
1 Measure the Speed of Light
Better do a good job, this is known pretty well.
2 Measure absolute activity of a source.
Harder than you think!
3 Measure the size of a nucleus.
The probe's the thing.
4 Measure the permittivity of free space.
Atomic transitions?
5 Make a measurement to prove that time dilation is real.
6 Measure the lifetime of a fundamental particle other than a muon.
7 Identify the particles in the cosmic ray flux.
8 Make a precision thermometer.(Prove it!)
9 Measure the cosmic microwave background.
10 Measure the power output of the sun.
11 Build a very low current particle accelerator.
12 Prove that atomic angular momentum exists.
Einstein-de Haas?
13 Measure the time it takes a wave to tunnel through a potential barrier.(Good Luck.)
14 Suggestions?
Enjoy, w.j.