Question

If mementum (P), acceleration (A), the specific heat capacity (S) and time (T), were taken as the fundamental units, the dimensional formula, for the coefficient of thermal conductivity (σ), would be

(1) [σ] = [PA^-2S⁺¹T^-4]

(2) σ = [PA^-1S²T⁴]

(3) σ = [PA²S^-1T^-4]

(4) σ = [P^-1A^-2S⁺¹T⁴]

Answer 1

(1) [σ] = [PA^-2S⁺¹T^-4]

Now rate of heat flow = σ(area) (temp.difference)/(distance)

Substituting values, we get