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 $\lambda_0$ is produced at point A (Pulse 2 ) without disturbing the position of M it takes time $\mathrm{T}_{\mathrm{AO}}$ to reach point O . Which of the following options is/are correct?