The quantity \(\frac{\theta_1-\theta_2}{x}\) or \(\frac{d\theta}{dx}\) represents the rate of fall of temperature w.r.t. distance.
The quantity \(\frac{d\theta}{dx}\) represents the rate of change of temperature w.r.t. distance and is called temperature gradient.
Q = −KA[ \(\frac{d\theta}{dx}\)] t
Q represent energy and its dimensions are :
[Q] = [ML2T -2 ]
[dx] = [L]
[A] = [L2 ]
[dθ] = [θ]
[t] = [T]
Dimension of K
[K] = \(\frac{[ML^2T^{-2}][L]}{[L^2][\theta][T]}\)
= [MLT-3θ-1]
