The wavelength of a signal propagating in a waveguide is always _______ its free space wavelength.

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GMRC SC/TO Electronics 2022 Official Paper
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  1. Smaller than
  2. Greater than
  3. Equal to
  4. Any of above

Answer (Detailed Solution Below)

Option 2 : Greater than
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Gujarat Metro SCTO (Electronic Circuits & Applications)
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Detailed Solution

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The correct option is 2
Concept:

The wavelength in a waveguide is considered as a wavelength in the direction of wave propagation and its dependence on wave frequency is defined as follows:

\({\lambda _x} = \frac{{{\lambda _0}}}{{\sqrt {1 - {{\left( {\frac{{{\lambda _0}}}{{{\lambda _c}}}} \right)}^2}} }}\)

Where λ0 is a wavelength in free space at a given frequency and λc stands for the cutoff wavelength for given waveguide dimensions and waveguide mode.

The wavelength of a wave in a waveguide is greater than in free space. 

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