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The peak wavelength of radiation emitted by a black body at a temperature of 2000 K is 1.45 μm. If the peak wavelength of emitted radiation changes to 2.90 μm, then the temperature (in K) of the black body is

1. 500
2. 1000
3. 4000
4. 8000

Correct answer: 1000

Solution

According to Wien's displacement law, the peak wavelength of radiation emitted by a black body is inversely proportional to its temperature. If the peak wavelength doubles from 1.45 μm to 2.90 μm, the temperature must halve from 2000 K to 1000 K.

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