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Q.

A T.V tower is 150 m tall. If the area around the tower has a population density of 750 km^-2, then the population covered by the broadcasting tower is about (Take radius of the earth 6400 km)

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a

4.5 x 10⁶

b

2.5 x 10⁶

c

4.5 x 10⁵

d

2.5 x 10⁵

answer is A.

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Detailed Solution

Number of persons covered = Area covered by the transmitter x population density
$\begin{array}{l} = {πd}^{2} \times population density \\ = π [\sqrt{2 R_{e} h_{t}}] \times population density \\ = 3.14 \times 2 \times 6400 km \times 150 \times 10^{- 3} km \times 750 \frac{1}{{km}^{2}} \end{array}$
= 4521600
= 4.5 x 10⁶

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