Question

Wien’s law is stated as follows: λmT = C, where C is 2898 μm.K and λm is the wavelength at which the emissive power of a black body is maximum for a given temperature T. The spectral hemispherical emissivity (ελ) of a surface is shown in the figure below (1 Å = 10-10 m). The temperature at which the total hemispherical emissivity will be highest is K (round off to the nearest integer).

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Answer :

Correct answer is : 4830

λmT = C, C = 2898 μm.K,

From the graph, the total hemispherical emissivity will be highest at λ = 6000 Å

λmax = 6000 × 10-10 m / 10-6 = 0.6 μm

λmT = C ⇒ 0.6 × T = 2898

T = 2898/0.6 = 4830 K

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