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Consider a black body of surface area 16.0 cm2 and temperature 6900 K. (a) How m

ID: 2166245 • Letter: C

Question

Consider a black body of surface area 16.0 cm2 and temperature 6900 K.
(a) How much power does it radiate?
Correct: Your answer is correct. W

(b) At what wavelength does it radiate most intensely?
Correct: Your answer is correct. nm

(c) Find the spectral power per wavelength at this wavelength.
W/m

Find the spectral power per wavelength at the following wavelengths.

(d) 5.00 nm (ultraviolet light or an x-ray)
Incorrect: Your answer is incorrect.
Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. W/m

(e) 400 nm (at the boundary between UV and visible light)
W/m

(f) 700 nm (at the boundary between visible and infrared light)
W/m

(g) 1.00 mm (infrared light or a microwave)
W/m

(h) 10.0 cm (a microwave or radio wave)
W/m

(i) About how much power does the object radiate as visible light?
kW

Explanation / Answer

1. power H = AeT^4

      H = 16*(10^-4)*1*(5.67*10^-8)*(6900^4) = 205636 W

2. max = 2.9*10^-3/T = 2.9*10^-3/6900

              = 420 nm

3. spectral power per wavelength = 205636/420*10^-9 = 489*10^9 W/m

4. 205636/5nm = 41127 *10^9 W/m

5. 514 *10^9 W/m

let me know if these are corect,

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