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Q.

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 DC. What is the temperature at the common surface?

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a

00C

b

2.50C

c

50C

d

6.50C

answer is C.

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Detailed Solution

If T is the temperature of the interface .of two plates of same area, thendQdt=K1A(10−T)Δx1=K2A(T−0)Δx2or   K1A(10−T)Δx1=32K1A(T−0)3/2Δx1 ∵K1K2=23 and Δx1Δx2=23or   10−T=T−0 or T+T=10 or 2T=10∴ T=5∘C
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