GATE ME 2018 Set 2 — Question 19
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+1 / -0.33EasyStefan-Boltzmann & Wien's LawsRadiationHeat Transfer
Heat Transfer → Radiation → Stefan-Boltzmann & Wien's Laws
Last updated
Question
The peak wavelength of radiation emitted by a black body at a temperature of is . If the peak wavelength of emitted radiation changes to , then the temperature (in K) of the black body is
Correct answer
(B) 1000
Solution
According to Wien's displacement law, the product of the peak wavelength () and the absolute temperature () of a black body is constant:Given:
Initial temperature,
Initial peak wavelength,
Final peak wavelength, Using the relation :Therefore, the temperature of the black body is .
Initial temperature,
Initial peak wavelength,
Final peak wavelength, Using the relation :Therefore, the temperature of the black body is .
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 Radiation
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 Q43A very long fin of a uniform square cross-section is replaced by another very long fin of a uniform…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…