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The wavelength of a wave in a waveguide
  • a)
    is greater than in free space
  • b)
    depends only on the waveguide dimensions and the free-space wavelength
  • c)
    is inversely proportional to the phase velocity
  • d)
    is directly proportional to the group velocity
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The wavelength of a wave in a waveguidea)is greater than in free space...
Wavelength in a Waveguide

Introduction:
A waveguide is a structure that guides electromagnetic waves along its path. The waves travel through the waveguide in a confined area, which is usually made of metal or plastic. The dimensions of the waveguide determine the frequency range that can be transmitted through it.

Wavelength in a Waveguide:
The wavelength of a wave in a waveguide is greater than that in free space. This is because the waveguide provides a medium with a higher refractive index than free space. The refractive index is defined as the ratio of the speed of light in free space to the speed of light in the medium.

Reason:
In a waveguide, the wave travels at a slower speed than in free space, which causes the wavelength to increase. This is due to the fact that the phase velocity of the wave decreases in the waveguide. The phase velocity is defined as the speed at which the phase of a wave propagates through space.

Conclusion:
Therefore, the correct answer is option 'A'. The wavelength of a wave in a waveguide is greater than that in free space. The wavelength depends on the dimensions of the waveguide and the frequency of the wave. The higher the frequency, the shorter the wavelength.
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The wavelength of a wave in a waveguidea)is greater than in free space...
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The wavelength of a wave in a waveguidea)is greater than in free spaceb)depends only on the waveguide dimensions and the free-space wavelengthc)is inversely proportional to the phase velocityd)is directly proportional to the group velocityCorrect answer is option 'A'. Can you explain this answer?
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