A) \[{{116}^{o}}C,\,{{27}^{o}}C\]
B) \[{{116}^{o}}C,\,{{74}^{o}}C\]
C) \[{{74}^{o}}C,\,{{27}^{o}}C\]
D) \[{{100}^{o}}C,\,{{27}^{o}}C\]
Correct Answer: B
Solution :
Rate of flow of heat should be same in all the three segments. \[+473\text{ }K=+473-273=200{}^\circ C\] \[H=\frac{{{\theta }_{2}}-{{\theta }_{1}}}{{{R}_{Th}}}=k({{\theta }_{2}}-{{\theta }_{1}})\frac{\ell }{A}\] \[\therefore \,\,2(200-{{\theta }_{1}})=4({{\theta }_{1}}-{{\theta }_{2}})=3({{\theta }_{2}}-18)\] \[\Rightarrow \,{{\theta }_{1}}={{116}^{o}}C,\,\,{{\theta }_{2}}={{74}^{o}}C\]You need to login to perform this action.
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