The phase velocity of a wave having a group velocity of 6 x 10 6 is (in order of 10 8 m/s)Ĭlarification: We know that the phase and the group velocities are given by Vp x Vg = c 2. The product of the phase and the group velocities is given by theĬlarification: The product of the phase and the group velocities is given by the square of the speed of the light. On substituting for m = 1 and a = 6cm, we get the cut off wavelength as 12cm.ĥ. The cut off wavelength of the rectangular waveguide in dominant mode with dimensions 6 cm x 4 cm isĬlarification: The cut off wavelength in the dominant mode is given by λc = 2a/m, where a is the broad wall dimension. On substituting for λc = 0.5 and λg = 2, we get λ = 0.48 units.Ĥ. Find the wavelength of the wave.Ĭlarification: The cut off wavelength and the guided wavelength are related as (1/λ) 2 = (1/λC. The cut off wavelength and the guided wavelength are given by 0.5 and 2 units respectively. On substituting for cos θ = 2.5 and the speed of light, we get the phase velocity as 7.5 x 10 8 m/s.ģ. Find the phase velocity.Ĭlarification: The phase velocity is given by Vp = c cos θ. This implies the group velocity is small.Ģ. In a waveguide, which of the following condition is true always?Ĭlarification: The phase velocity is always greater than the speed of light in waveguides. Electromagnetic Theory Multiple Choice Questions on “Phase and Group Velocity”.ġ.
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