T.V. transmission tower at a particular station has a height of `160m`.
(`a`) What is the coverage range?
(`b`) How much population is covered by transmission, if the average population density around the tower is `1200 per km^(2)`?
(`c`) What should be the height of tower to double the coverage range

Explanation

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