A) \[60{}^\circ C,\text{ }50{}^\circ C\]
B) \[116{}^\circ C,\text{ }74{}^\circ C\]
C) \[55{}^\circ C,\text{ }65{}^\circ C\]
D) \[160{}^\circ C,\text{ }80{}^\circ C\]
Correct Answer: B
Solution :
The rate of flow of heat is same \[H=(2K)A\frac{(200-{{\theta }_{1}})}{L}\] \[=(4K)A\frac{({{\theta }_{1}}-{{\theta }_{2}})}{L}\] \[=(3K)A\frac{{{\theta }_{2}}-{{18}^{o}}}{L}\] \[\Rightarrow \] \[2({{200}^{o}}-{{\theta }_{1}})=4\,({{\theta }_{1}}-{{\theta }_{2}})\] \[=3({{\theta }_{2}}-{{18}^{o}})\] \[\Rightarrow \] \[{{\theta }_{1}}={{116}^{o}}C\], \[{{\theta }_{2}}{{74}^{o}}C\]You need to login to perform this action.
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