Question Bank • QB_EXP_DFE_RAD_002 MCQ • 1 Mark

Section 7: Dairy and Food Engineering

Radiation Heat Transfer & Emissivity

Subtopic: Wien displacement law and blackbody radiation

Question Statement:

According to Wien's Displacement Law, the wavelength $\lambda_{\max}$ at which maximum spectral emissive power occurs is related to absolute temperature $T$ by:

Options:

  • (A) $\lambda_{\max} T = 2898\;\mu\text{m}\cdot\text{K} = \text{constant}$
  • (B) $\lambda_{\max} / T = \text{constant}$
  • (C) $\lambda_{\max} T^4 = \text{constant}$
  • (D) $\lambda_{\max} = \sigma T^2$

Answer Key:

A

Step-by-Step Solution & Explanation

Wien's displacement law states that the peak emission wavelength shifts inversely with absolute temperature: $\lambda_{\max} T = C \approx 2.898 \times 10^{-3}\text{ m}\cdot\text{K} = 2898\;\mu\text{m}\cdot\text{K}$.
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