A certain radar has the following specifications: single pulse SNR corresponding to a reference range \(R_{0}=200 \mathrm{~km}\) is \(10 \mathrm{~dB}\). The probability of detection at this range is \(P_{D}=0.95\). Assume a Swerling I type target. Use the radar equation to compute the required pulse widths at ranges \(R=220,250 \mathrm{~km}\), and \(175 \mathrm{~km}\), so that the probability of detection is maintained.