A radar has the following parameters: peak power \(P_{t}=50 \mathrm{~kW}\); total losses \(L=5 \mathrm{~dB}\); operating frequency \(f_{0}=5.6 \mathrm{GHz}\); noise figure \(F=10 \mathrm{~dB}\) pulse width \(\tau=10 \mu \mathrm{s} ; \operatorname{PRF} f_{r}=2 \mathrm{kHz}\); antenna beam width \(\theta_{a z}=1^{\circ}\) and \(\theta_{e k}=5^{\circ}\). (a) What is the antenna gain? (b) What is the effective aperture if the aperture efficiency is \(60 \%\) ? (c) Given a \(14 \mathrm{~dB}\) threshold detection, what is the detection range for a target whose RCS is \(\sigma=1 \mathrm{~m}^{2}\) ?