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MHT CET · Physics · Communication System

In communication system, the range for line of sight propagation in case of earth is 'd', for the height of antenna (h). If 'h' is doubled then the new range is

  1. A \(\frac{\mathrm{d}}{\sqrt{2}}\)
  2. B \(\frac{\sqrt{2}}{\mathrm{~d}}\)
  3. C \(\frac{\mathrm{d}}{2}\)
  4. D \(\sqrt{2} \mathrm{~d}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\sqrt{2} \mathrm{~d}\)

Step-by-step Solution

Detailed explanation

\(d = \sqrt{2Rh}\) \(d' = \sqrt{2R(2h)} = \sqrt{4Rh} = \sqrt{2} \sqrt{2Rh}\)