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JEE Main 20179 AprilOnline
Exam
JEE Main
Year
2017
Date
9 April
Mode
Online
Subject
Physics
Chapter
Communication System

JEE Main 2017 · 9 April · Online · Physics · Communication System

A signal is to be transmitted through a wave of wavelength λ, using...

A signal is to be transmitted through a wave of wavelength λ,\lambda, using a linear antenna. The length ll of the antenna and effective power radiated Peff{P}_{eff} will be given, respectively, as-
(KK is a constant of proportionality)

Options

  1. Aλ8,Peff=K(lλ)\dfrac{\lambda}{8}, {P}_{eff} = K\left(\dfrac{l}{\lambda}\right)
  2. B\dfrac{\lambda}{16}, {P}_{eff} = K{\left(\dfrac{l}{\lambda}\right)}^{3}
  3. C\dfrac{\lambda}{5}, {P}_{eff} = K(lλ)12\left(\dfrac{l}{\lambda}\right)\dfrac{1}{2}
  4. D\lambda, {P}_{eff} = K{\left(\dfrac{l}{\lambda}\right)}^{2}

Correct answer

D. \lambda, {P}_{eff} = K{\left(\dfrac{l}{\lambda}\right)}^{2}

Step-by-step solution

Length of antenna = comparable to λ\lambda
Power P∝(lλ)2P ∝ {( \dfrac{l}{\lambda} )}^{2}.
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