Solar radiation emitted by sun resembles that emitted by a black body at a temperature of 6000K. Maximum intensity is emitted at a wavelength of about 4800A°. If the sun was cooled down from 6000 K to 3000 K then the peak intensity would occur at a wavelength of ______?
Answer: 9600A˚
Explanation
Using Wien's displacement law:
λ_peak ∝ 1/T
Given: Initial temperature (T1) = 6000 K, Initial peak wavelength (λ1) = 4800 Å
Final temperature (T2) = 3000 K
λ2 / λ1 = T1 / T2
λ2 = λ1 * T1 / T2
= 4800 Å * 6000 K / 3000 K
= 9600 Å
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