For a perfectly black body, coefficient of emission is

For a perfectly black body, coefficient of emission is
  1. zero.
  2. unity.
  3. less than one (non-zero).
  4. infinity.

Solution

Perfect black body absorption and emission

A perfectly black body absorbs all incident radiation regardless of wavelength, giving it an absorption coefficient $a = 1$.

Kirchhoff's law establishes that emissivity equals absorptivity at a given wavelength and temperature: $e = a$.

Since $a = 1$, the emissivity must also be unity: $e = 1$.

A perfectly black body is therefore both a perfect absorber and perfect emitter of radiation.

The correct choice is $\boxed{B}$.

Asked in: MHT CET 2025 (20 April Shift 1)

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