For an absolutely white or specular body-
(where α = absorptivity, ρ = reflectivity, τ = transmissivity)

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  1. α = 1, ρ = 0 and τ = 0
  2. ρ = 1 and α = τ = 0
  3. τ = 1 and α = ρ = 0
  4. α + τ = 1 and ρ = 0

Answer (Detailed Solution Below)

Option 2 : ρ = 1 and α = τ = 0
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Concept:

White body

  • A body that is called a white body is one that reflects almost all radiations incident up on it and does not absorb or transmit any part of it.
  • For a white body, α = τ = 0, ρ = 1

Important Points

Black body

  • A black body is an object that absorbs all the radiant energy reaching its surface.
  • No actual body is perfectly black; the concept of a black body is an idealization with which the radiation characteristics of real bodies can be compared.
  • Properties of the black body:
    • It absorbs all the incident radiation falling on it and does not transmit or reflect regardless of wavelength and direction
    • It emits the maximum amount of thermal radiation at all wavelengths at any specified temperature
    • It is a diffuser emitter (i.e. the radiation emitted by a black body is independent of direction)
  • Transparent body: τ = 1, α = ρ = 0
  • Opaque body: τ = 0
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