The GATE Grind

GATE 2018 ME (ME2) – Question 19

Heat Transfer · Radiative heat transfer: laws, view factors, radiation network · 1 mark · Multiple choice

A black body at 2000 K has peak emission wavelength 1.45 μm. If the peak wavelength becomes 2.90 μm, its temperature (K) is ______.

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

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Show answer and explanation

Correct answer: (B) 1000

Explanation

Wien’s law gives $\lambda_{\max}T=\text{constant}$. Therefore $T_2=2000(1.45/2.90)=1000$ K: **B**.