What should be the height of transmitting antenna and the population covered if the televition telecast is to cover a radius of 150 km? The average population density around the tower is 200 / km² and the value of R_e = 6.5 * 10⁶ m.

Option 1 - Height = 1800m                             Population Covered = 1413 × 108

Option 2 - Height = 1241m Population Covered  = 7 × 105

Option 3 - Height = 1600m Population Covered = 2 × 105

Option 4 - Height = 1731m Population Covered = 1413 × 105

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Vishal Baghel | Contributor-Level 10

6 months ago

Correct Option - 4

Detailed Solution:

d = 150 km

$d = \sqrt[]{2 h R}$

$h = \frac{d^{2}}{2 R} = \frac{{(150 * 1 0^{3})}^{2}}{2 * 6.5 * 1 0^{6}} = 1731 m .$

Population covered

$π r^{2} * σ = 3.14 * 15 0^{2} * 2000 = 1413 * 1 0^{5}$

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What should be the height of transmitting antenna and the population covered if the televition telecast is to cover a radius of 150 km? The average population density around the tower is 200 / km2 and the value of Re = 6.5 * 106 m.

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What should be the height of transmitting antenna and the population covered if the televition telecast is to cover a radius of 150 km? The average population density around the tower is 200 / km² and the value of R_e = 6.5 * 10⁶ m.