A block M hangs vertically at the bottom end of a uniform rope of constant mass per unit length. The top end of the rope is attached to a fixed rigid support at O. A transverse wave pulse (Pulse 1) of wavelength λ0 is produced at point O on the rope. The pulse takes time TOA to reach point A. If the wave pulse of wavelength λ0 is produced at point A (Pulse 2) without disturbing the position of M it takes time TAO to reach point O. Which of the following options is/are correct?
(A) The time TAO = TOA
(B) The velocities of the two pulses (Pulse 1 and Pulse 2) are the same at the midpoint of rope
(C) The wavelength of Pulse 1 becomes longer when it reaches point A
(D) The velocity of any pulse along the rope is independent of its frequency and wavelength