Calculate the Ratio of Range of Transmitting antenna of height 64 m to the receiving antenna of height 16 m:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 2 : 1
The range of an individual antenna is proportional to the square root of its height (h),
$R_1∝\sqrt{h_1}$
$R_2∝\sqrt{h_2}$
$h_1$ = height of transmitting antenna = 64 m
$h_2$ = height of receiving antenna = 16 m
$\frac{R_1}{R_2}=\frac{\sqrt{h_1}}{\sqrt{h_2}}⇒\frac{R_1}{R_2}=\sqrt{\frac{64}{16}}=\frac{2}{1}$