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AIIMS 201827 May
Exam
AIIMS
Year
2018
Date
27 May
Subject
Physics
Chapter
Communication System

AIIMS 2018 · 27 May · Physics · Communication System

A ground receiver receives a signal at 5 MHz , transmitted by a...

A ground receiver receives a signal at 5MHz5 \mathrm{MHz}, transmitted by a ground transmitter at a height of 320 m320 \mathrm{~m}, which is 110 km110 \mathrm{~km} away from it. Then it can communicate through (radius of earth R=6400 kmR=6400 \mathrm{~km} )

Options

  1. Aspace waves
  2. Bground waves
  3. Csky waves
  4. Dboth sky and ground waves

Correct answer

C. sky waves

Step-by-step solution

Maximum distance covered by space wave communication =2Rh=2(6400×103 m)(320 m)=64 km=\sqrt{2 R h}=\sqrt{2\left(6400 \times 10^3 \mathrm{~m}\right)(320 \mathrm{~m})}=64 \mathrm{~km} Since the distance between transmitter and receiver is 110 km110 \mathrm{~km}, therefore the given frequency signal cannot communicate through either by ground waves or space waves. For sky wave, the value of critical frequency is vc=9(Nmax⁡)1/2=9(1012)1/2=9×106 Hz=9MHz\begin{aligned} v_c & =9\left(N_{\max }\right)^{1 / 2}=9\left(10^{12}\right)^{1 / 2} \\ & =9 \times 10^6 \mathrm{~Hz}=9 \mathrm{MHz}\end{aligned} where, Nmax⁡=N_{\max }= Maximum electron density of ionosphere. As the signal frequency 5MHz<9MHz5 \mathrm{MHz} < 9 \mathrm{MHz}, so the communication is through sky waves.
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