GATE EC 2022: Electromagnetics Quiz 10

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Question 1

The modes in a rectangular waveguide are denoted by TE_mn/TM_mn where m and n are the eigen numbers along the larger and smaller dimensions of the waveguide respectively. Which one of the following statements is TRUE?

• AThe TM₁₀ mode of the waveguide does not exist
• BThe TE₁₀ mode of the waveguide does not exist
• CThe TM₁₀ and the TE₁₀ modes both exist and have the same cut-off frequencies
• DThe TM₁₀ and the TM₀₁ modes both exist and have the same cut-off frequencies

Question 2

A rectangular waveguide of internal dimensions (a = 4 cm and b = 3) is to be operated TE₁₁ mode. The minimum operating frequency is

• A6.25GHz
• B6.0GHz
• C5.0GHz
• D3.75GHz

Question 3

In an Air filled rectangular waveguide with a = 2 cm; b = 1 cm, the y component of TE mode is given

Find propagation constant

• Aj 400
• Bj 640
• Cj 942
• Dj 1000

Question 4

A rectangular waveguide having TE₁₀ mode as dominant mode is having a cutoff frequency of 18-GHz for the TE₃₀ mode. The inner broad-wall dimension of the rectangular waveguide is:

• A5/3 cms
• B5 cms
• C5/2 cms
• D10 cms

Question 5

A rectangular metal wave–guide filled with a dielectric material of relative permittivity has the inside dimensions . The cut–off frequency for the dominant mode is

• A2.5 GHz
• B5.0 GHz
• C10.0 GHz
• D12.5 GHz

Question 6

A circular waveguide carries mode whose radial electric –field is given by

Where r is radial distance in cm from the waveguide axis
Cut off wavelength of this mode is

• A10cm
• B3 cm
• C2 cm
• D8cm

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