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EMFT - ECE
Waveguides

Practice questions from Waveguides.

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Q#1 Waveguides GATE EC 2022 (Set 1) MSQ +2 marks -0 marks

A waveguide consists of two infinite parallel plates (perfect conductors) at a separation of , with air as the dielectric. Assume the speed of light in air to be . The frequency/ frequencies of  waves which can propagate in this waveguide is/are _______.

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Q#2 Waveguides GATE EC 2021 (Set 1) NAT +2 marks -0 marks

A standard air-filled rectangular waveguide with dimension , operates at . For the dominant mode of wave propagation, the phase velocity of the signal is . The value (rounded off to two decimal places) of , where  denotes the velocity of light, is _______.

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Q#3 Waveguides GATE EC 2019 (Set 1) NAT +2 marks -0 marks

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

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Q#4 Waveguides GATE EC 2019 (Set 1) MCQ +2 marks -0.66 marks

The dispersion equation of a waveguide, which relates the wavenumber k to the frequency, is  

 

Where the speed of light  and  is a constant. If the group velocity is , then the phase velocity is

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Q#5 Waveguides GATE EC 2018 (Set 1) NAT +2 marks -0 marks

The cut-off frequency of  mode of an air filled rectangular waveguide having firmer dimensions is twice that of the dominant 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 4cm. The value of b. (in cm, correct to two decimal places) is ________

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Q#6 Waveguides GATE EC 2017 (Set 2) MCQ +2 marks -0.66 marks

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

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Q#7 Waveguides GATE EC 2016 (Set 1) NAT +2 marks -0 marks

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 ________

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Q#8 Waveguides GATE EC 2016 (Set 1) MCQ +2 marks -0.66 marks

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

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Q#9 Waveguides GATE EC 2015 (Set 1) MCQ +2 marks -0.66 marks

The longitudinal component of the magnetic field inside an air-filled rectangular waveguide made of a perfect electric conductor is given by the following expression         

The cross-sectional dimensions of the waveguide are given as a = 0.08 m and b= 0.033 m. The mode of propagation inside the waveguide is

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Q#10 Waveguides GATE EC 2015 (Set 2) NAT +2 marks -0 marks

An air-filled rectangular waveguide of internal dimensions a cm × b cm (a>b) has a cut-off frequency of 6 GHz for the dominant  mode. For the same waveguide, if the cut-off frequency of the  mode is 15 GHz, the cut-off frequency of the  mode in GHz is __________.

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Q#11 Waveguides GATE EC 2014 (Set 2) NAT +2 marks -0 marks

For a rectangular waveguide of internal dimensions , the cut-off frequency for the  mode is the arithmetic mean of the cut-off frequencies for  mode and  mode. If , the value of b (in cm) is _______.

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Q#12 Waveguides GATE EC 2014 (Set 3) NAT +1 mark -0 marks

Consider an air filled rectangular waveguide with a cross-section of 5 cm × 3 cm. For this waveguide, the cut-off frequency (in MHz) of  mode is _________.

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Q#13 Waveguides GATE EC 2012 (Set 1) MCQ +2 marks -0.66 marks

The magnetic field along the propagation direction inside a rectangular waveguide with the cross-section shown in the figure is

Q40

 

The phase velocity  of the wave inside the waveguide satisfies

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Q#14 Waveguides GATE EC 2011 (Set 1) MCQ +1 mark -0.33 marks

The modes in a rectangular waveguide are denoted by  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?

The  mode of the waveguide does not exist

The  mode of the waveguide does not exist

The  and  modes both exist and have the same cut-off frequencies

The  and  modes both exist and have the same cut-off frequencies

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Q#15 Waveguides GATE EC 2009 (Set 1) MCQ +1 mark -0.33 marks

Which of the following statements is true regarding the fundamental mode of the metallic waveguides shown?

4.jpg

4.jpg

Only P has no cut-off-frequency

Only Q has no cut-off-frequency

Only R has no cut-off-frequency

All three have cut-off frequencies

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Q#16 Waveguides GATE EC 2008 (Set 1) MCQ +2 marks -0.66 marks

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

6.25 GHz

6.0 GHz

5.0 GHz

3.75 GHz

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Q#17 Waveguides GATE EC 2007 (Set 1) MCQ +2 marks -0.66 marks

An air-filled rectangular waveguide has inner dimensions of 3cm×2cm. The wave impedance of the   mode of propagation in the waveguide at a frequency of 30 GHz is (free space impedance )

308 Ω

355Ω

400 Ω

461 Ω

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Q#18 Waveguides GATE EC 2007 (Set 1) MCQ +2 marks -0.66 marks

The field in a rectangular waveguide of inner dimensions axis is given by

Where  is a constant, and a and b are the dimensions along the x-axis and the y-axis respectively. The mode of propagation in the waveguide is

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Q#19 Waveguides GATE EC 2006 (Set 1) MCQ +2 marks -0.66 marks

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

10 cms

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Q#20 Waveguides GATE EC 2005 (Set 1) MCQ +2 marks -0.66 marks

Which one of the following does represent the electric field lines for the mode in the cross-section of a hollow rectangular metallic waveguide?

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Q#21 Waveguides GATE EC 2004 (Set 1) MCQ +1 mark -0.33 marks

The phase velocity of an electromagnetic wave propagating in a hallow metallic rectangular waveguide in the mode is

Equal to its group velocity

Less than the velocity of light in free space

Equal to the velocity of light in free space

Greater than the velocity of light in free space

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Q#22 Waveguides GATE EC 2003 (Set 1) MCQ +2 marks -0.66 marks

A rectangular metal wave-guide filled with a dielectric material of relative permittivity  has the inside dimensions 3.0cm×1.2cm. The cut-off frequency for the dominant mode is

2.5 GHz

5.0 GHz

10.0 GHz

12.5 GHz

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Q#23 Waveguides GATE EC 2002 (Set 1) MCQ +1 mark -0.33 marks

The Phase velocity for the mode in an air-filled rectangular waveguide is (c is the velocity of plane waves in free space)

less than c

equal to c

greater than c

none of the above

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Q#24 Waveguides GATE EC 2002 (Set 1) MSQ +2 marks -0 marks

Consider a parallel plate wave-guide with plate separation d as shown in Figure electric and magnetic fields for the TEM-mode are given by        

Where

(a) Determine the surface charge densities  on the plates at x = 0 and x = d.

(b) Determine the surface current densities  on the same plates.

(c)   and  satisfy the current continuity condition ?

38.jpg

Yes,   and  satisfy the current continuity condition

No,   and  do not satisfy the current continuity condition

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Q#25 Waveguides GATE EC 2000 (Set 1) MCQ +2 marks -0.66 marks

A rectangular wave guide has dimensions. Its cut-off frequency is

5 GHz

10 GHz

15 GHz

20 GHz

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Q#26 Waveguides GATE EC 1999 (Set 1) MCQ +1 mark -0.33 marks

Indicate which one of the following will NOT exist in a rectangular resonant cavity.

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Q#27 Waveguides GATE EC 1999 (Set 1) NAT +2 marks -0 marks

A 100 m section of an air-filled rectangular wave-guide operating in the  mode has a cross-sectional dimension of . Two pulses of 21 GHz and 28 GHz are simultaneously launched at one end of the wave-guide section. What is the time delay difference between the two pulses at the other end of the wave-guide?

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Q#28 Waveguides GATE EC 1998 (Set 1) NAT +2 marks -0 marks

A rectangular wave guide with inner dimensions  has been designed for a single mode operation. Find the possible frequency range of operations such that the lowest frequency is 5% above the cut off and the highest frequency is 5% below the cut-off of the next higher mode

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Q#29 Waveguides GATE EC 1998 (Set 1) NAT +5 marks -0 marks

The region between a pair of parallel perfectly conducting planes of infinite extent in the y- and –z directions is partially filled with a dielectric as shown in Figure. A 30 GHz  wave is incident on the air dielectric interface as shown. Find the VSWR at the interface.

21.jpg

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Q#30 Waveguides GATE EC 1997 (Set 1) MCQ +1 mark -0.33 marks

A rectangular air-filled waveguide has cross section of . The minimum frequency which can propagate in the waveguide is

1.5 GHz

2.0 GHz

2.5 GHz

3.0 GHz

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Q#31 Waveguides GATE EC 1994 (Set 1) NAT +1 mark -0 marks

The interior of a  rectangular wave guide is completely filled with a dielectric of . Waves of free space wave-lengths shorter than (cm) ________ can be propagated in the  mode.        

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Q#32 Waveguides GATE EC 1992 (Set 1) MCQ +2 marks -0.66 marks

Which of the following statements is/are correct?        

All the resonant frequencies of a microwave cavity are harmonics of a single frequency

No two of the resonant frequencies of a microwave cavity are harmonics of a single frequency

Resonant frequencies of a microwave cavity form distinct sets of harmonically related frequency

None of the above, because a microwave cavity does not resonate at a number of frequencies.

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Q#33 Waveguides GATE EC 1992 (Set 1) MCQ +2 marks -0.66 marks

 In a multi-cavity magnetron, strapping is employed primarily

to prevent mode jumping

to increase the separation between the resonant frequencies in the p mode and in the adjacent modes

to reduce the back heating of the cathode

to increase the output of the magnetron

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