Find the emitted power per square meter of peak intensity for a 3000 K object th
ID: 285744 • Letter: F
Question
Find the emitted power per square meter of peak intensity for a 3000 K object that emits thermal radiation Express your answer to three significant figures and include the appropriate units P= Value Units Submit Previous Answers Request Answer Incorrect. Try Again: 3 attempts remaining Part B Find the wavelength of peak intensity for a 3000 K object that emits thermal radiation Express your answer to three significant figures and include the appropriate units peak = 1 Value Units Submit iou X Incorrect; Try Again: 4 attempts remaining Part C Find the emitted power per square meter of peak intensity for a 50,000 K object that emits thermal radiation Express your answer to three significant figures and include the appropriate units P= Value UnitsExplanation / Answer
First we need to remember:
1) Stefan Boltzmann eqn
E= sigma× T^4
sigma = 5.67 × 10^(-8) W/m^2
2) Wein displacement law
Lambda(max) = b/T
b= 2.8978 × 10^(-3) mK
Ans A) P = 5.67×10^(-8) × 3000^4
=4592700 W/m^2
= 4.59 MW/m^2
Ans B) wavelength = 2.89777/ 3000
= 0.9659 mm
= 966 micometers
Ans C) Power = 5.67×10^(-8)×50000^(4)
= 354375000 kW/m^2
= 354 GW/m^2
Ans D) wavelength = 2.89777/50000
= 57.9 micometers.
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