If the height of a transmitting antenna is $h$, the range of transmission is proportional to which factor?

Solution

1. The line-of-sight transmission range $d$ for an antenna of height $h$ is given by the formula $d=\sqrt{2Rh}$, where $R$ is the radius of the Earth.
2. In this expression, $R$ is a constant value representing the Earth's radius.
3. Since $d=\sqrt{2R}\cdot \sqrt{h}$, the range $d$ is directly proportional to the square root of the height $h$.
4. Hence the answer is (C).