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What should be the height of transmitting antenna and the population covered if the television telecast is to cover a ra…

Q1

What should be the height of transmitting antenna and the population covered if the television telecast is to cover a radius of \( 150 \mathrm{~km} \)? The average population density around the tower is \( 2000 / \mathrm{km}^{2} \) and the value of \( R_{e}=6.5 \times 10^{6} \mathrm{~m} \).

[JEE Main 2021, 22 Jul (Shift 2)]

a

Height \( =1800 \mathrm{~m} \)

Population covered \( =1413 \times 10^{8} \)

b

Height \( =1600 \mathrm{~m} \)

Population covered \( =2 \times 10^{5} \)

c

Height \( =1731 \mathrm{~m} \)

Population covered \( =1413 \times 10^{5} \)

d

Height \( =1241 \mathrm{~m} \)

Population covered \( =7 \times 10^{5} \)

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