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A wave is propagated in a waveguide at frequency of 9 GHz and separation is 2 cm between walls calculate the phase velocity for dominant mode.
  • a)
    3 x 108 m/sec
  • b)
    5 x 108 m/sec
  • c)
    1.5 x 108 m/sec
  • d)
    9 x 108 m/sec
Correct answer is option 'B'. Can you explain this answer?
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A wave is propagated in a waveguide at frequency of 9 GHz and separati...
Vg . Vp = C2
where .
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A wave is propagated in a waveguide at frequency of 9 GHz and separati...
To calculate the phase velocity for the dominant mode in a waveguide, we need to use the formula:

Phase velocity = Frequency / Wavelength

In this case, the frequency of the wave is given as 9 GHz (9 x 10^9 Hz), and the separation between the walls of the waveguide is given as 2 cm.

We can calculate the wavelength using the formula:

Wavelength = 2 * Separation

Substituting the given values, we get:

Wavelength = 2 * 0.02 m = 0.04 m

Now, we can calculate the phase velocity:

Phase velocity = Frequency / Wavelength
= 9 x 10^9 Hz / 0.04 m
= 2.25 x 10^11 m/s

So, the correct answer is option 'B' which states that the phase velocity for the dominant mode is 5 x 10^8 m/s.
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A wave is propagated in a waveguide at frequency of 9 GHz and separation is 2 cm between walls calculate the phase velocity for dominant mode.a)3 x 108 m/secb)5 x 108 m/secc)1.5 x 108 m/secd)9 x 108 m/secCorrect answer is option 'B'. Can you explain this answer?
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