text: # Two plates of same area are placed in contact. Their thickness as well as thermal conductivities are in the ratio 2:3. The outer surface of one plat
  
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  Two plates of same area are placed in contact. Their thickness as well as 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. What is the temperature at the common surface?
  A. 0^(@)C
  B. 2.5^(@)C
  C. 5^(@)C
  D. 6.5^(@)C
  
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  c) If T is the temperature of the interface of two plates of same area, then
  (dQ)/(dt) = (K_(1)A(10-7))/(Deltax_(1))=(K_(2)A(T-0))/(Deltax_(2))
  (K_(1)A(10-T))/(Deltax_(1))=(3/2K_(1)A(T-0))/(3//2Deltax_(1))[thereforeK_(1)/K_(2)=2/3and (Deltax_(1))/(Deltax_(2))=2/3]
  or 10-T=T-0 or T+T = 10 or 2T = 10
  therefore T = 5^(@)C