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Heat Transfer
Convection & Radiation
GATE 2020
Medium

The spectral distribution of radiation from a black body at T1=3000 K has a maximum at wavelength λmax. The body cools down to a temperature T2. If the wavelength corresponding to the maximum of the spectral distribution at T2 is 1.2 times the original λmax, then the temperature T2 is __________ K (round off to the nearest integer).

2500 K(± 1 accepted)

Explanation

Wien's displacement law: λmax·T = constant. So T1λ1=T2λ2 → T2=T1λ1/λ2=T1/1.2=3000/1.2=2500 K.

Source: GATE ME 2020 Session 2 (ME-2) (2020)

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