Q.
A Cubical frame is made by connecting 12 identical uniform conducting rods as shown in the figure. In the steady state the temperature of junction A is 1000C while that the G is 00C. Then,
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a
H will be Hotter than B
b
Temperature of F is 400C
c
Temperature of D is 66.670C
d
Temperature of E is 500C
answer is B.
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Detailed Solution
AB:100−T1=RΔQΔt−−−−1 or100−T1=RiBC:T1−T2=RΔQ2Δt −−−−2CA:T2=RΔQΔt −−−−32÷3T1−T2T2=RΔQ2ΔtRΔQΔt⇒T1−T2T2=12⇒2T1−2T2=T2⇒2T1=3T2⇒T1=3T22−−−−4From 1 and 3⇒100−T1=T2−−−5from 4 and 5⇒100−3T22=T2⇒100=5T22⇒T2=40°Csubstitute in 4⇒T1=3402=60°CTemperature of B,E,D (60°C) is hotter than H,F,C(40°C)
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