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Q.

Three rods of the same dimensions have thermal conductivities 3k, 2k and k. They are arranged as shown, with their ends at 100ºC, 50ºC and 0ºC. The temperature of their junction is

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a

75ºC

b

2003∘C

c

40ºC

d

1003∘C

answer is B.

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Detailed Solution

Let the temperature of junction be T. Net heat flow rate at junction point = 0∴dHdt3k+dHdt2k+dHdtk=0⇒3kA(100−T)L+2kA(50−T)L+kA(0−T)L=0300−3T+100−2T−T=0⇒6T=400⇒T=2003 C  o
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