Consider a black body of surface area 10.0 cm2 and temperature 6900 K. (a) How m

Question

Consider a black body of surface area 10.0 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. Find the spectral power per wavelength at the following wavelengths. (d) 5.00 nm (ultraviolet light or an x-ray) (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 = AesT^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

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