Basic Maths and Units and DimensionsHard
Question
Three identical bodies are at temperature T1, T2 and T3 having e1, e2 and e3 as their respective emissivities. The thermal spectrum obtained for them is as shown in the diagram. Choose the correct order of temperatures and emissivities:-
Options
A.T1 > T2 > T3
B.T1 < T2 < T3
C.e1 < e2 < e3
D.e1 > e2 > e3
Solution
λ ∝ 
⇒ T1 > T2 > T3
Area under the curve Eλ & λ gives intensity so
σAe3T34 > σAe2T24
Now as T3 < T2 ⇒ e3 > e2
⇒ T1 > T2 > T3Area under the curve Eλ & λ gives intensity so
σAe3T34 > σAe2T24
Now as T3 < T2 ⇒ e3 > e2
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