(Part A) Consider a blackbody that radiates with an intensity I2 at a room tempe
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Question
(Part A) Consider a blackbody that radiates with an intensity I2 at a room temperature of 300K. At what intensity will this blackbody radiate when it is at a temperature of 400K? (Part B) At what wavelength (lamda m) would the intensity of blackbody radiation be at a maximum when the blackbody is at 2900K? (Part C) An astronomer is trying to estimate the surface temperature of a star with a radius of 5.0x10^8 by modeling it as an ideal blackbody. The astronomer has measured the intensity of radiation due to the star at a distance of 2.5x10^13 and found it to be equal to 0.055 W/m^2. Given this information, what is the temperature of the surface of the star? Express answer in K.Explanation / Answer
we will solve it step by step So I_2 = I_1*(T2/T1)^4 = I_1*(400/300)^4 = 3.16*I_1................................1) b) ?*T = 2.90x10^-3m-K ....................from Wien displacement law So ? = 2.90x10^-3/2900 = 1.0x10^-6m c) 0.055W/m^2*(2.5x10^13/5.0x10^8)^2 = 1.375x10^8W/m^2............intensity we have I = sT^4 NOW WE HAVE T = fourth root(I/s) = fourth root(1.375x10^8/5.67x10^-8) = 7.0x10^3K............Ans
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