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ExamsJEE MainPhysics

What should be the height of transmitting antenna and population covered if television telecast is to cover a radius of 150 km? The average population density in tower is 2000/km and the value of Re = 6.5 × 10^6 m.

  1. Height = 1731 m Population Covered = 1413 × 10^5
  2. Height = 1241 m Population Covered = 7 × 10^5
  3. Height = 1600 m Population Covered = 2 × 10^5
  4. Height = 1800 m Population Covered = 1413 × 10^8

Correct answer: Height = 1241 m Population Covered = 7 × 10^5

Solution

The correct option provides a height of 1241 m, which is calculated based on the required coverage radius of 150 km and the Earth's radius, ensuring that the signal can reach the intended distance. Additionally, the population covered is accurately determined by multiplying the area of coverage by the population density, resulting in 7 × 10^5, which aligns with the given parameters.

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