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Heat Transfer

Q1:

The wavelength at which the maximum monochromatic emissive power occurs for a black body, is (where, T = absolute temperature of the black body)

A αT

B α 1/T

C α T4

D independent of T

ANS:B - α 1/T

The wavelength (λmax​) at which the maximum monochromatic emissive power occurs for a black body is given by Wien's displacement law, which states: max=λmax​=Tb​ Where:

  • maxλmax​ is the wavelength at which maximum emissive power occurs.
  • T is the absolute temperature of the black body.
  • b is Wien's displacement constant (≈2.897×10−3 m⋅Kb≈2.897×10−3m⋅K).
From the formula, we can see that λmax​ is inversely proportional to temperature (T). So, the correct answer is: α 1/T



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