GATE EC 2019 Set 1 — Question 47
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+2 / -0.67EasyPhase & Group VelocityPlane WavesElectromagnetics
Electromagnetics → Plane Waves → Phase & Group Velocity
Last updated
Question
The dispersion equation of a waveguide, which relates the wavenumber to the frequency , iswhere the speed of light m/s, and is a constant. If the group velocity is m/s, then the phase velocity is
Correct answer
(D) 4.5 × 10⁸ m/s
Solution
For a waveguide, the relationship between phase velocity (), group velocity (), and the speed of light () is given by:Given:
m/s
m/sCalculating phase velocity:Thus, the correct option is (D).
m/s
m/sCalculating phase velocity:Thus, the correct option is (D).
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 Plane Waves
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…