Two plates of same area are placed in contact. Their thickness as well as their thermal conductivities are in the ratio 2: 3 . The outer surface of one plate is maintained at 10^ C and that of the other at 0^ C . Temperature at the common surface is

Step-by-step solution

Given that, two plates are having same surface area (A) . Let K₁, K₂ and t₁, t₂ be their conductivities and thickness respectively, According to question, K₁ K₂ = t₁ t₂ = 2 3 ...(i) Since, the rate of flow of heat through both plates be same, then aligned & Q t = K₁ A T₁ t₁ = K₂ A T₂ t₂ & K₁ K₂ t₂ t₁ (T₁-T )= (T-T₂ ) aligned [where T be the temperature of common surface] Substituting the values, we get aligned 2 3 3 2 (10-T) & =(T-0) T & =5^ C aligned