A) \[{{30}^{o}}C\]
B) \[{{40}^{o}}C\]
C) \[{{50}^{o}}C\]
D) \[{{60}^{o}}C\]
Correct Answer: B
Solution :
Temperature of interface \[\theta =\frac{{{K}_{1}}{{\theta }_{1}}+{{K}_{2}}{{\theta }_{2}}}{{{K}_{1}}+{{K}_{2}}}\] where K1 = 2K and K2 = 3K \[\left( \because \,\frac{{{K}_{1}}}{{{K}_{2}}}=\frac{2}{3} \right)\] Þ \[\theta =\]\[\frac{2K\times 100+3K\times 0}{2K+3K}\]\[=\frac{200K}{5K}=40{}^\circ C\]
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