A black body at 200K found to emit maximum radiation energy at a wavelength of 14um. When its temperature is raised to 1000K, the wavelength at which maximum energy is emitted is
(1) 14 um
(3)2.8 um
(2) 70 um
(4) 7 um
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Applying Wien's displacement law, λT=constant
where, λ =wavelength of maximum energy, T=absolute temperature
Let λ
1
be required wavelength at 1000K
⇒λ
1
×1000=14×200⇒λ
1
=2.8μm
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