Q120 / 120 · VITEEE 2006 · Physics

The maximum range, $\mathrm{d}_{\max }$ of radar is

  • A
    proportional to the cube root of the peak transmitted power
  • Correct answer
    B
    proportional to the fourth root of the peak transmitted power
  • C
    proportional to the square root of the peak transmitted power
  • D
    not related to the peak transmitted power at all

Solution

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 $\mathrm{d} \propto(\mathrm{p})^{1 / 4}$

Hence, the correct answer is option: 'B'.

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