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Blackbody Radiation Question

  1. Apr 27, 2014 #1
    1. The problem statement, all variables and given/known data

    The temperature of a blackbody is 500 C. If the intensity of the emitted radiation, 2.0 W/m^2, were due entirely to the most intense frequency component, how many quanta of radiation would be emiteed per second per square meter?

    2. Relevant equations

    λmaxT = 2.90 x 10^-3 m K


    3. The attempt at a solution

    I'm not sure where to begin or how to use intensity.
    500 C = 773.15 K

    I calculated λmax = 2.90 x 10^-3 m K / 773.15 K = 3750 nm or 3.75 x 10 ^-6 m. I'm not sure where to go from here. Please help. Thank you!
     
  2. jcsd
  3. Apr 27, 2014 #2
    A useful relationship to consider is this one:

    [itex]J=∫^{∞}_{0}J_{λ}(T)dλ[/itex]

    This tells you the total energy radiated per unit time per unit surface area of a black body.
     
  4. Apr 27, 2014 #3
    Thank you!
     
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