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)`

Options

A. `708.5 km^(-2)`
B. `828.6 km^(-2)`
C. `856.8 km^(-2)`
D. `454 km^(-2)`

Answer

B

Explanation

Population covered `= rho pi d^(2)`
`50 xx 10^(5) = rho (pi hR)`
`:. Rho = (50 xx 10^(5))/(3.14 xx 2 xx 150 xx (6.4 xx 10^(6))) = 828.6 km^(-2)`