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Question

In radiative heat transfer, a gray surface is one _____

The correct answer is
Whose emissivity is independent of wavelength

Gray Surface Definition in Radiative Heat Transfer

A gray surface in the context of radiative heat transfer is defined by its thermal emission properties.

Understanding Gray Surfaces

The defining characteristic of a gray surface relates to how its emissivity behaves across different wavelengths of radiation.

  • Definition: A gray surface is one whose emissivity (ε) is constant and independent of the wavelength (λ) of the emitted radiation.
  • Implication: This means the ratio of its emissive power to that of a blackbody at the same temperature is the same for all wavelengths.

Analyzing Incorrect Options

Let's look at why the other options are not the correct definition:

  • Option 1 (Visual Appearance): A surface appearing gray visually relates to its visible light reflectivity, not its thermal radiative properties across all wavelengths. A surface can look gray but have wavelength-dependent emissivity.
  • Option 3 (Zero Reflectivity): A surface with zero reflectivity (ρ = 0) is either a blackbody (if absorptivity α = 1) or a perfectly transparent surface. A gray surface does not necessarily have zero reflectivity; its properties are uniform across wavelengths, but not necessarily zero.
  • Option 4 (Equal Brightness): Appearing equally bright from all directions describes a diffuse surface, which is related to the directional properties of emission or reflection, not the spectral (wavelength) properties.

Therefore, the correct definition hinges on the spectral independence of emissivity.

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Important Questions from Radiation

  1. Stefan Boltzmann's constant is expressed in the unit-

  2. A body whose absorptivity does not vary with temperature and wavelength of the incident ray is known as

  3. The process of heat transfer from a hot body to a cold body in a straight line, without affecting the intervening medium, is known as ______.

  4. Heat is transferred from an electric bulb by ______.

  5. Radiosity is defined as _______.
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