(a) Define resonance in the context of forced oscillations.
(b) Using suitable physical reasoning, show qualitatively why the time period T of a simple pendulum depends on the square root of its length ℓ for small angular displacements.
(c) Two simple pendulums P and Q have lengths 1.00m and 1.44m respectively. If pendulum P makes exactly 150 complete oscillations in a given interval of time, calculate the number of complete oscillations made by pendulum Q in the same interval. Show all steps clearly.