Question

In a radar system, if peak transmitted power is increased by a factorof $81$, then the maximum-range will be increased by a factor of

• A. $3$
• B. $6$
• C. $9$
• D. $27$

Answer 1

The correct option is A $3$

$R_{maximumrange}\propto P^{\frac{1}{4}}$
$⟹\frac{R}{R_1}={\left(81\right)}^{\frac{1}{4}}=3$
$⟹R=3R_1$