A) \[70{}^\circ C\]
B) \[50{}^\circ C\]
C) \[50{}^\circ C\]
D) \[90{}^\circ C\]
Correct Answer: A
Solution :
| Temperature of interface \[\theta =\frac{{{K}_{1}}{{\theta }_{1}}+{{K}_{2}}{{\theta }_{2}}}{{{K}_{1}}+{{K}_{2}}}\] |
| It is given that \[\frac{{{K}_{1}}}{{{K}_{2}}}=\frac{5}{3}\] \[\Rightarrow \] \[{{K}_{1}}=5K\] and \[{{K}_{2}}=3K\] |
| \[\theta =\frac{5K\times 100+3K\times 20}{5K+3K}\]\[=\frac{560K}{8K}\]\[=70{}^\circ C\] |
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