Final answer:
Wave C, with a pulse repetition period of 5 ms, has the highest pulse repetition frequency because it has the shortest pulse repetition period, and frequency is inversely related to period.
Step-by-step explanation:
To determine which of the four waves has the highest pulse repetition frequency, we need to understand the relationship between pulse repetition period and frequency. Pulse repetition frequency (PRF) is the number of pulses transmitted per second and is the inverse of the pulse repetition period. The formula to calculate frequency (f) given the period (T) is f = 1/T.
- A. 8 s - PRF = 1/8 Hz
- B. 80 ms (0.08 s) - PRF = 1/0.08 Hz
- C. 5 ms (0.005 s) - PRF = 1/0.005 Hz
- D. 400 ks (400,000 s) - PRF = 1/400000 Hz
Comparing the frequencies, option C has the highest pulse repetition frequency because 0.005 s is the shortest period listed, thus giving the highest frequency when we take its inverse.