A simple pendulum of length 1 m is oscillating with an angular frequency 10 rad/s. The support of the pendulum starts oscillating up and down with a small angular frequency of 1 rad/s and an amplitude of 10–2 m. The relative change in the angular frequency of the pendulum is best given by :
(1) 1 rad/s
(2) 10–5 rad/s
(3) 10–3 rad/s
(4) 10–1 rad/s
