# 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

by (90.7k points)
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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
The passage describes a physics problem involving two plates with different thermal conductivities and thicknesses, and it asks for the temperature at their common surface. The passage also provides a detailed solution to the problem.
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Given a text passage, determine:
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    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

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TYPE: <one of the following values>
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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 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
user
The passage describes a physics problem involving two plates with different thermal conductivities and thicknesses, and it asks for the temperature at their common surface. The passage also provides a detailed solution to the problem.

TYPE: SINGLE_QUESTION_WITH_ANSWER