Determining Wavelength of Most Intense Electromagnetic Radiation at 2500.1 °C

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SUMMARY

The discussion focuses on determining the wavelength of the most intense electromagnetic radiation emitted from a furnace at 2500.1 °C using Wien's Law. Two equations are presented: Wien's Law Tλ max = 1/5 c2 (where c2 = 1.44 cmK) and λ = b/T (with B = 2.897 x 10^-3 m·K). The calculated wavelengths are 1.0388 x 10^-4 cm and 1044.6 nm, confirming the accuracy of the equations used. The discussion also addresses the significance of significant figures in the calculations.

PREREQUISITES
  • Understanding of Wien's Law and its application in thermal radiation
  • Familiarity with significant figures in scientific calculations
  • Basic knowledge of temperature conversion and units (Celsius to Kelvin)
  • Ability to perform calculations involving constants in physics
NEXT STEPS
  • Study the derivation and applications of Wien's Law in thermal radiation
  • Learn about the significance of significant figures in scientific measurements
  • Explore the relationship between temperature and electromagnetic radiation
  • Investigate other laws of thermal radiation, such as Stefan-Boltzmann Law
USEFUL FOR

Students in physics or engineering, educators teaching thermal radiation concepts, and anyone interested in the practical applications of Wien's Law in thermal analysis.

XBOX999
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Homework Statement



Determine the wavelength of the most intense electromagnetic radiation
emitted from a furnace at 2500.1 °C.

Homework Equations



Wien Law Tλ max = 1/5 c2
where c2= 1.44 cmK
or another equation
λ=b/T where B= 2.897*10^-3 m.k

The Attempt at a Solution


when I solve it with equation 1:
I got 1.0388*10^-4 cm
when I solve it with the second equation
I got 1044.6 nm
Please check my answer if it write if the equations are write to solve the problem and check my significant digits.
 
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Your answer(s) look good.
When you do the calculation
λ=c2 / 5T,​
How many significant figures are there in c2? And in T?
 

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