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AP EAMCET · PHYSICS · Communication System

A TV tower has a height \(160 \mathrm{~m}\). Its coverage range is nearly (Earth's radius, \(R_e=6400 \mathrm{~km}\))

  1. A \(45255 \mathrm{~m}\)
  2. B \(55265 \mathrm{~m}\)
  3. C \(452.55 \mathrm{~km}\)
  4. D \(552.65 \mathrm{~m}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(45255 \mathrm{~m}\)

Step-by-step Solution

Detailed explanation

Given, height of a TV tower, \(h=160 \mathrm{~m}\) Radius of earth, \(R=6400 \mathrm{~km}=6.4 \times 10^6 \mathrm{~m}\) Coverage range of TV tower is given by \(d=\sqrt{2 R h}=\sqrt{2 \times 6.4 \times 10^6 \times 160}=45254.8=45255 \mathrm{~m}\)
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