Which one of the following statements is correct about the relationship between a particle executing uniform circular motion (radius A) and the simple harmonic motion (SHM) of its projection on a diameter?
(a) The diameter 2A of the circle equals the amplitude of the SHM.
(b) The radius A of the circle equals the root-mean-square (rms) displacement in the SHM.
(c) The radius A of the circle equals the amplitude of the SHM.
(d) The time period of the SHM equals the time taken by the particle to complete half a revolution in the circle.