Q. The maximum range, $d_{\max}$ of radar is
A) Proportional to the cube root of the peak transmitted power
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
Explanation
(b) Maximum Range of the radar is given by
$R_{\max} = \left( \frac{P_{t}A^{2}S}{4\pi\lambda^{2}P_{\min}} \right)^{1/4}$
Where $P_{t}:$ peak value of transmitted power
$A:$ capture area of the receiving antenna
$S:$ radar cross-sectional area
$\lambda:$ wavelength of RADAR wave
$P_{\min}:$ minimum receivable power of the receiver
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.