1.

A T.V. tower has a height 100m. What is the population density around the tower if total population covered is 50 lakh ? Given radius of earth =6.3xx10^(6)m.

Answer»

Solution :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)`


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