Final answer:
Without the tension of the rope and its linear mass density, we cannot calculate the time taken for a transverse wave to travel the full length of the rope. The provided options cannot be evaluated with incomplete information.
Step-by-step explanation:
The time taken by a transverse wave to travel the full length of a uniform rope hanging from the ceiling can be calculated if we know the wave speed on the rope and the length of the rope. However, the question does not provide enough details to calculate the wave speed as we need information about the tension in the rope and the linear mass density. Without this information, the time taken by the wave cannot be determined from the options (A) 2.0s, (B) 1.2s, (C) 1.0s, (D) 2.2s. To find the time taken for a wave to travel a certain distance on a string or rope, the speed of the wave (v) is required, and it is given by the equation v = √(T/μ), where T is the tension in the string and μ is the linear mass density (mass per unit length).