A grey body is defined as a body that:

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  1. absorbs all radiation incident upon its surface
  2. reflects all radiation incident upon its surface
  3. has emissivity less than 1 but constant for all wavelengths
  4. has an emissivity that varies with wavelength of radiation

Answer (Detailed Solution Below)

Option 3 : has emissivity less than 1 but constant for all wavelengths
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Explanation:

Gray Body

  • A grey body is a theoretical object that has an emissivity less than 1 but remains constant over all wavelengths of radiation. This means that while it does not emit radiation as perfectly as a black body (which has an emissivity of 1), its emissivity does not vary with the wavelength of the radiation it emits.

Emissivity:

  • Emissivity is a measure of a material's ability to emit energy as thermal radiation. It is defined as the ratio of the radiation emitted by a surface to the radiation emitted by a black body at the same temperature. A black body, with an emissivity of 1, is an ideal emitter that radiates the maximum possible energy at any given temperature. Real objects have emissivities less than 1, indicating that they emit less thermal radiation than a black body.

Characteristics of a Gray Body:

  • Constant Emissivity: The primary characteristic of a gray body is that its emissivity is constant and does not change with the wavelength of the radiation. This is in contrast to real materials, whose emissivity can vary significantly with wavelength.
  • Less than Perfect Emission: A gray body does not emit radiation as efficiently as a black body. The emissivity of a gray body is less than 1, indicating that it emits a fraction of the energy that a black body would emit at the same temperature.
  • Practical Approximation: The concept of a gray body is useful in practical applications because it simplifies the analysis of thermal radiation. By assuming a constant emissivity, engineers and scientists can more easily calculate the thermal radiation properties of materials.
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