Final answer:
The statement is false. Two waves can have identical pulse repetition frequencies even if their pulse repetition periods are different.
Step-by-step explanation:
The statement is false. Two waves can have identical pulse repetition frequencies even if their pulse repetition periods are different. The pulse repetition period is the time it takes for one pulse to complete a cycle, while the pulse repetition frequency is the number of pulses per second. So, even if the pulse repetition periods are different, if the number of pulses per second is the same, the pulse repetition frequencies will be identical.
For example, consider two waves with pulse repetition periods of 1 second and 2 seconds, respectively. The first wave will have a frequency of 1 pulse per second, while the second wave will have a frequency of 0.5 pulses per second. Although their pulse repetition periods are different, their pulse repetition frequencies are the same (1 pulse per second).