Please answer the following question: Subject: Quantum Mechanics You are asked t

Question

Please answer the following question:

Subject: Quantum Mechanics

You are asked to help design a Pitchforks statue for one of the ASU Athletics events which should glow “white hot". To get the visible impression of white light emission, you assume that the maximum radiative emission should occur at a wavelength of 850 nm. 1. (a) What will the temperature of the statue be? (30 pts) (b) How much power will the statue consume if the surface area is approximately 0.1 m2? (consider only radiative power losses) (20 pts) Hint: = 5.67 x 10-8 Wm" K4

Explanation / Answer

a. for lambda = 850 nm
   from weins displacement law
   temperature of statue = T
   lambda = b/T
   b = 2.897*10^-3
   T = 3408.23529 K

b. power consumed by statue = poewer radiated by statue
   Power = sigma*A*T^4
   P = 5.67*10^-8 * 0.1 * 3408.23529^4
   P = 765070.28917 W = 765.07 kW

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