Periodic Motion & SHM Basics question from NEET 2005 (AIPMT)

Answer: (a)

1. Uniform circular motion repeats after every revolution, so it is periodic.
2. It is a 2-D motion, not a to-and-fro motion along a line with $F \propto -x$; only its projection on a diameter is SHM.
3. So the answer is (a) periodic but not simple harmonic.