The unit of thermal diffusivity is:

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  1. kg - m²/s
  2. m²/s
  3. m⁴/s²
  4. m²/kg-s

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Option 2 : m²/s
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Explanation:

Thermal diffusivity:

Thermal diffusivity of material is given as \(α = \frac{k}{{ρ c}}\)

where k is thermal conductivity in W/m-kρ is density in kg/m3 and c specific heat capacity in J/kg-K

It is the property of the material. The larger the value of α, the faster heat will diffuse through the material. A high value of α could result either from a high value of thermal conductivity or low value of thermal heat capacity ρc. Thermal diffusivity α has units of square meters per second.

unit of \(\alpha =\frac{\frac{W}{m-K}}{\frac{kg}{m^3}\frac{J}{kg-K}}=\frac{m^2}{s}\)as Watt is J/s.

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