Explanation: The duty cycle of a pulsed radar transmitter represents the fraction of time the transmitter is actively emitting a pulse compared to the total cycle time. It is a fundamental parameter in radar theory, indicating the transmitter's "on" time. The duty cycle is calculated by multiplying the pulse width (TW) by the pulse repetition frequency (PRF): Duty Cycle = Pulse Width (TW) × Pulse Repetition Frequency (PRF) Given values: Pulse Width (TW) = 0.5 microseconds = 0.5 × 10$^{-6}$ seconds Pulse Repetition Frequency (PRF) = 1,000 Hz Substitute these values into the formula: Duty Cycle = (0.5 × 10$^{-6}$ s) × (1,000 Hz) Duty Cycle = 0.5 × 10$^{-6}$ × 10$^{3}$ Duty Cycle = 0.5 × 10$^{-3}$ Duty Cycle = 0.0005 The peak power and minimum range are additional radar parameters but are not required for calculating the duty cycle. Therefore, the calculated duty cycle is 0.0005.