GATE EC 2019 Set 1 — Question 61
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+2 / -0MediumCutoff Frequency & Guide WavelengthWaveguides & Optical FibersElectromagnetics
Electromagnetics → Waveguides & Optical Fibers → Cutoff Frequency & Guide Wavelength
Last updated
Question
A rectangular waveguide of width and height has cut-off frequencies for and modes in the ratio 1: 2. The aspect ratio , rounded off to two decimal places, is ______.
Correct answer
1.71 to 1.75
Solution
The cut-off frequency for a rectangular waveguide mode is given by:
For the mode ():
For the mode ():
We are given the ratio . Therefore:
Squaring both sides:
Rounding off to two decimal places, the aspect ratio is 1.73.
For the mode ():
For the mode ():
We are given the ratio . Therefore:
Squaring both sides:
Rounding off to two decimal places, the aspect ratio is 1.73.
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE EC question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Waveguides & Optical Fibers
2026 Set 1 Q21Consider the Friis' transmission equation , where…2026 Set 1 Q24The electric field of a monochromatic plane wave travelling in a lossless isotropic and homogenous…2026 Set 1 Q28Which option(s) represents/ represent the dielectric loss tangent of a substrate?2026 Set 1 Q33The cutoff frequency (in GHz) for the dominant mode of an air-filled rectangular…2026 Set 1 Q34For a lossless passive two-port network, and intersect at -3 dB. For a lossy…