# Black and Grey Surfaces

By BYJU'S Exam Prep

Updated on: September 25th, 2023

A black body is defined as a body that absorbs all incident radiation regardless of wavelength and direction. Within the visual band of radiation, any material, which absorbs all visible light, appears as black. Extending this concept to the much broader thermal band, we speak of surfaces with α = 1 as also being “black” or “thermally black”. It follows that for such a surface, ε = 1, and the surface will behave as an ideal emitter. The terms ideal surface and black surface are used interchangeably.

In this article, Byjus Exam Prep provides detailed and comprehensive study notes about the Black and Grey Surfaces in the following section. So, stay tuned for this article.

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## Black and Grey Surfaces

A black, or ideal surface, will have no surface resistance

In this case, the nodal Radiosity and emissive power will be equal.

This result gives some insight into the physical meaning of a black surface. Ideal surfaces radiate at the maximum possible level. Non-black surfaces will have a reduced potential, somewhat like a battery with a corroded terminal. They, therefore, have a reduced potential to cause heat/current flow.

• Large surfaces: Surfaces having a large surface area will behave as black surfaces, irrespective of the actual surface properties:

Physically, this corresponds to the characteristic of large surfaces that as they reflect energy, there is very little chance that energy will strike the smaller surfaces; most of the energy is reflected back to another part of the same large surface. After several partial absorptions, most of the energy received is absorbed.

Gray Surfaces: The gray surface is a medium whose monochromatic emissivity (ελ) does not vary with wavelength. The monochromatic emissivity is defined as the ratio of the monochromatic emissive power of the body to the monochromatic emissive power of a black body at the same wavelength and temperature.

ελ = Eλ / Eλ, b

But, we know the following.

Therefore,

Where: Eλ,b is the emissive power of a black body per unit wavelength. If the gray body condition is imposed, that is, ελ = constant, so that: ε = ελ = constant

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