A TV tower has a height of 160 m. How much population is covered by the television broadcast, if the average population density around the tower is 1000 per km²? Given radius of the earth is 6400 km.

64.3 lacs

The correct answer is Option (2) → 64.3 lacs

distance of horizon, $d = \sqrt{2Rh}$

where,

R, Radius of earth = 6400 km [given]

h, height of tower = 160 m [given]

$d≃\sqrt{2×6.4×10^3×160}$

$≃45.28km$

Now,

A, Area of circle covered by broadcast = $πd^2$

$=π(45.28)^2$

$≃6445.7km^2$

∴ Population = Population Density × Area

$=100×6445.7≃64.3\,lakh$