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Questions  

A TV tower has a height of 70 m. If the average population density around the tower is  1000 km-2 ,  the population covered by the TV tower is (Radius of Earth is 6400 km )

a
2.816×106lac
b
2.86×109lac
c
2.816×103lac
d
2.816×1012lac

detailed solution

Correct option is A

R=6400km Population density =1000km-2 coverage range=d =2Rh Population= Population density × πd2   , Where   d=2Rh                    = Population density × π(2Rh)2                              = Population density × π2Rh           =1000×10-6×3.14×2×6400×103×70                    = 2.813×106lac

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