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
explanation: The document contains a physics question related to thermal conductivity and temperature at the common surface of two plates. It also includes the correct answer and a detailed explanation of the solution.
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distilabel_metadata.content: # 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
  
  296 views
  in Physics
  closed
  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
  
  by (90.7k points)
  selected
  
  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
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a physics question related to thermal conductivity and temperature at the common surface of two plates. It also includes the correct answer and a detailed explanation of the solution.
  
  Label: question-and-answer