Three simple pendulums are constructed from identical small bobs hung from strings of different lengths. Pendulum A has length 0.25m, pendulum B has length 1.0m, and pendulum C has length 2.25m. All three are set into small-angle oscillations in the same room on Earth.
(a) Rank the pendulums from greatest to least period. Clearly describe the reasoning that leads to your ranking without performing explicit numerical calculations.
(b) Rank the pendulums from greatest to least frequency. Explain how your answer follows from your reasoning in part (a).