GATE EC||ELCTROMAGNETIC FIELD THEORY|| WAVEGUIDE|| PYQS(2000-2025)

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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?

(GATE 2011|| EC || MCQ ||1 MARK)

  • The TM 10 mode of the waveguide does not exist.

  • The TE 10 mode of the waveguide does not exist.

  • The TM 10 and the TE 10 modes both exist and have the

    same cut-off frequencies.

  • The TM 10 and the TM 01 modes both exist and have the

    same cut-off frequencies.

Question 2

A standard air-filled rectangular waveguide with dimensions a = 8 cm, b = 4 cm operates at 3.4 GHz. For the dominant mode of wave propagation, the phase velocity of the signal is v P . The value (rounded off to two decimal places) of v P /c, where c donates the velocity of light, is ____

(GATE 2021|| EC || NAT ||2 MARK)

  • 1.1987

Question 3

A rectangular waveguide of width W and height h has cut-off frequencies for TE 10 and TE 11 modes in the ratio 1:2. The aspect ratio w/h, rounded off to two decimal places, is _______.

(GATE 2019|| EC || NAT ||2 MARK)

  • 1.732

Question 4

Annotation-2025-09-19-064624


(GATE 2019|| EC || MCQ ||2 MARK)

  • 2 × 10 8 m/s

  • 1.5 x 10 8 m/s

  • 3 x 10 8 m/s

  • 4.5 x 10 8 m/s

Question 5

The cut-off frequency of TE 01 mode of an air-filled rectangular waveguide having inner dimension a cm × b cm (a > b) is twice that of the dominant TE 10 mode. When the waveguide is operated at a frequency which is 25% higher than the cut-off frequency of the dominant mode, the guide wavelength is found to be 4 cm. The value of b (in cm, correct to two decimal places) is ________.

(GATE 2018|| EC || NAT ||2 MARK)

  • 0.75

Question 6

Standard air-filled rectangular waveguides of dimensions a = 2.29 cm and b = 1.02 cm are designed for radar applications. It is desired that these waveguides operate only in the dominant TE 10 mode with the operating frequency at least 25% above the cutoff frequency of the TE 10 mode but not higher than 95% of the next higher cutoff frequency. The range of the allowable operating frequency f is ______.

(GATE 2017|| EC || MCQ ||2 MARK)

  • 8.19 GHz ≤ f ≤ 13.1 GHz

  • 8.19 GHz ≤ f ≤ 12.45 GHz

  • 6.55 GHz ≤ f ≤ 13.1 GHz

  • 1.64 GHz ≤ f ≤ 10.24 GHz

Question 7

Consider an air-filled rectangular waveguide with dimensions a = 2.286 cm and b = 1.016 cm. The increasing order of the cut-off frequencies for different

modes is


(GATE 2016|| EC || MCQ ||2 MARK)

  • TE 01 < TE 10 < TE 11 < TE 20

  • TE 20 < TE 11 < TE 10 < TE 01

  • TE 10 < TE 20 < TE 01 < TE 11

  • TE 10 &lt; TE 11 &lt; TE 20 &lt; TE 01

Question 8

Consider an air-filled rectangular waveguide with dimensions a = 2.286 cm and b = 1.016 cm. At 10 GHz operating frequency, the value of the propagation constant (per meter) of the corresponding propagating mode is ________.

( GATE 2016|| EC || NAT ||2 MARK)

  • 158.07

Question 9

An air-filled rectangular waveguide of interval dimensions a cm × b cm (a > b) has a cutoff frequency of 6 GHz for the dominant TE 10 mode. For the same waveguide, if the cutoff frequency of the TM 11 mode is 15 GHz, the cutoff frequency of the TE 01 mode in GHz is _________.

(GATE 2015|| EC || NAT ||2 MARK)

  • 13.74

Question 10

Annotation-2025-09-19-061532

(GATE 2015|| EC || MCQ ||1 MARK)

  • TM 12

  • TM 21

  • TE 21

  • TE 12

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