Heat and Thermal ExpansionHard
Question
Temperature of black body is 3000K when black body colls, then change in wavelength ᐃλ = 9 micron corresponding to maximum energy density. Now temperature of black body is :-
Options
A.300 K
B.2700 K
C.270 K
D.1800 K
Solution
Wien′s displacement law.
λ1T1 = λ2T2 = b = 2.8 × 10-3 km
⇒ 3000 × λ1 - T2 × (λ2 ≡ 3 × 10-3 km
⇒ λ1 = 1 μm & [λ2 - λ1] = 9 μm
⇒ λ2 = 10 μm
⇒ T2 = 300 K
λ1T1 = λ2T2 = b = 2.8 × 10-3 km
⇒ 3000 × λ1 - T2 × (λ2 ≡ 3 × 10-3 km
⇒ λ1 = 1 μm & [λ2 - λ1] = 9 μm
⇒ λ2 = 10 μm
⇒ T2 = 300 K
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