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TS EAMCET · Physics · Communication System

A person tries to broadcast with the same antenna both the signals at \(10^7 \mathrm{~Hz}\) and \(10^6 \mathrm{~Hz}\). If the receiver at some distance has to receive an equal strength for both the frequencies, then the broadcaster has to approximately increase the signal strength at \(10^6 \mathrm{~Hz}\) to \(10^7 \mathrm{~Hz}\) by

  1. A \(\frac{1}{10}\) times
  2. B 10 times
  3. C 100 times
  4. D \(\frac{1}{100}\) times
Verified Solution

Answer & Solution

Correct Answer

(C) 100 times

Step-by-step Solution

Detailed explanation

Power of signal radiated by an antenna \(P \propto \frac{1}{\lambda^2}\), where, \(\lambda=\) wavelength of signal or \(P \propto v^2\), where, \(v=\) frequency so \(\frac{P_1}{P_2}=\frac{v_1^2}{v_2^2}\) Given, \(v_1=10^7 \mathrm{~Hz}, \mathrm{v}_2=10^6 \mathrm{~Hz}\)…
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