JEE Physics · Hard

Principles of Communication: Propagation MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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PropagationHardQuestion 20270

Question

Population coverage P (number of people served) by a TV tower of height h placed in an area of population density η is:
  1. A
    P = η × 2πRh
  2. B
    P = η × π(2Rh)
  3. C
    P = η × πd² where d = √(2Rh)
    Correct
  4. D
    All of these are equivalent

Correct answer

P = η × πd² where d = √(2Rh)

Explanation

Service area = πd² = π × 2Rh (circular area with radius = LOS distance). Population = η × π × 2Rh. Doubling tower height doubles coverage area and population served (linear relationship with h).