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 `lamda_(0)` is produced at point O on the rope. The pulse takes time `T_(OA)` to reach point A. If the wave pulse of wavelength `lamda_(0)` is produced at point A (Pulse 2) without disturbing the position of M it takes time `T_(AO)` to reach point O. Which of the following options is/are correct?

Options

A. The velocities of the two pulses (Pulse 1 and Pulse 2) are the same at the midpoint of rope
B. The velocities of any pulse along the rope is independent of its frequency and wavelength
C. The wavelength of Pulse 1 becomes longer when it reaches point A
D. The time `T_(AO) = T_(OA)`

Answer

B, D