Question

For the ‘combination’ of a transmitting antenna, of height H_T and a receiving antenna, of height H_R , their ‘radio horizon’ equals x when H_R = H_T . Without changing the height of the receivng antenna, the height of the transmitting antenna is increased to 4 times its earlier value. The new value of their ‘radio horizon’ would be.

(1) 1.5x

(2) 2x

(3) 3x

(4) 4x

Answer 1

(1) 1.5x

The radio horizon is given by

In the second case, if x' is the radio horizon, 

We have,