An extra high voltage transmission line of length 300 km can be approximate by a lossless line having propagation constant β = 0.00127 radians per km. Then the percentage ratio of line length to wavelength will be given by

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  1. 24.24%
  2. 12.12%
  3. 19.05%

  4. 6.06%

Answer (Detailed Solution Below)

Option 4 : 6.06%
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\(\begin{array}{l} \lambda = \frac{{2\pi }}{\beta } = \frac{{2\pi }}{{0.00127}} = 4947.4km\\ \frac{{Line\ length}}{{Wave\ length}} = \frac{{300}}{{4947.4}} = 0.0606 = 6.06\% \end{array}\)
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