Light from an ideal spherical blackbody 16.0 cmin diameter is analyzed by using

Question

Light from an ideal spherical blackbody 16.0 cmin diameter is analyzed by using a diffraction grating that has 3750 lines/cm . When you shine this light through the grating, you observe that the peak-intensity wavelength forms a first-order bright fringe at ± 14.5 from the central bright fringe.

Part A

What is the temperature of the blackbody?

4.34×103

  K

Part B

How long will it take this sphere to radiate 16.0 MJ of energy?

I was able to find the temperature, but I am not sure what to do for part B.

4.34×103

  K

Explanation / Answer

part B :

Power P = (sigma) A T^4

P = (5.67*10^ -8 * 4*3.14 * 0.08 * 0.08 * (4340)^4

P = 1617005.84 Watts

Power P = Energy/time

time = 16 e 6/(1617005.874)

t = 9.89 sec s

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