A T.V. tower has a height 150m. What is the population density around the T.V. tower if the total population covered is 50 lakh? (Radius of earth `=6.4xx10^(6)m)`

Explanation

Given `h=100m,R=6.3xx10^(6)m,`
Population covered `=50` lakh `50xx10^(5)`
Radius of circle within which transmission is observed
`d=sqrt(2hR)=sqrt(2xx100xx6.3xx10^(6))`m
Area in which transmission can be viewed
`A=pid^(2)=3.142xx2xx100xx6.3xx10^(6)`
`=3.9589xx10^(9)m^(2)`
`A=3.9589xx10^(3)km^(2)`
`:.` Average population density
`sigma=(50xx10^(5))/(3.9589xx10^(3))=1263xx10^(2)`
`=1263km^(-2)`