TV transmission tower at Kota has a height of 80 m. Radius of earth is 6400 km
(i) What is its coverage range
(ii) How much population is covered by transmission if the average population density around the tower is `2000 km^(-2)` ?

Explanation

(a) Coverage range `d=sqrt(2Rh)`
`=sqrt(2xx6400xx10^(3)xx160m)=45.254` km
(b) Population covered = (population density) `xx` (area covered) = `(1200)xx(pid^(2))`
`=(2400pi" rh")=2400xx3.14xx6.4xx10^(3)xx0.16=77.17` lac
(c) Therefore civerage range can be soubled by making height of the tower four times to 640m. So, height of the tower should be increased by 480 m