GATE ME 2026 Set 1 — Question 43
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+2 / -0.67MediumHeat Transfer Through FinsConductionHeat Transfer
Heat Transfer → Conduction → Heat Transfer Through Fins
Last updated
Question
A very long fin of a uniform square cross-section is replaced by another very long fin of a uniform circular cross-section of the same material. Assume uniform and identical heat transfer coefficient for both the fins. If the diameter of the circular fin is equal to the side length of the square fin, then the ratio of heat transfer rates before and after the replacement is
Correct answer
(A) 4/π
Solution
The heat transfer rate for a very long fin is given by , where is the heat transfer coefficient, is the perimeter, is the thermal conductivity, is the cross-sectional area, and is the base temperature difference. Let the side length of the square fin be . Then its perimeter and its cross-sectional area . The circular fin has a diameter . Its perimeter and its cross-sectional area . Since , , and are identical for both fins, the ratio of heat transfer rates is:Thus, the correct option is (A).
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 ME 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 Conduction
2026 Set 1 Q27A quiescent fluid at temperature is confined between two vertical parallel plates. While…2026 Set 1 Q35A sphere of radius 5 mm is initially in equilibrium at 400 in a furnace. It is…2026 Set 1 Q54Two rectangular surfaces both having area are placed perpendicular to each other…2026 Set 1 Q55Convective heat transfer coefficients for Fluid 1 and Fluid 2 in a heat exchanger, as shown in the…2025 Set 1 Q15Let a spherical block of ice at be exposed to atmospheric air at …