First slide

Radiation

Question

The wavelength of maximum emitted energy of a body at 700K is 4.08µm. If the temper-ature of the body is raised to 1400 K, the wavelength of maximum emitted energy will be

Easy

A

1.02µm
B

16.32µm
C

8.16µm
D

2.04µm

Solution

T₁ = 700k; T₂ = 1400k
$\large (\lambda_m)_1=4.08\times 10^{-6}m,(\lambda_m)_2=?$
$\large \frac {(\lambda_m)_2}{(\lambda_m)_1}=\frac {T_1}{T_2}$
$\large \frac {(\lambda_m)_2}{4.08\times 10^{-6}}=\frac {700}{1400}\Rightarrow (\lambda_m)_2=2.04\mu m$

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