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

GATE Mechanical Engineering (ME) 2018 Shift 2 Solved Paper

Question : 21 of 65

Marks: +1, -0

The peak wavelength of radiation emitted by a black body at a temperature of

2000 {K}

1.45 {um}

. If the peak wavelength of emitted radiation changes to

2.90 {um}

, then the temperature (in

{K}

) of the black body is

Solution:

λ_{m} T=\;\text " constant "\;

2000 × 1.45=2.9 × T

{T}=1000

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