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The maximum range, $\mathrm{d}_{\max }$ of radar is
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proportional to the fourth root of the peak transmitted power
Maximum range of radar $\mathrm{d}_{\max } \propto \sqrt{1}$ and power transmitted by antenna of length 1 is $\mathrm{p} \propto(1 / \lambda)^{2} \Rightarrow 1 \propto \sqrt{\mathrm{p}}$ and $\mathrm{d} \propto(\mathrm{p})^{1 / 4}$
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