A) 26°C
B) 49°C
C) 35°C
D) 42°C
Correct Answer: B
Solution :
According to Newton's law \[\frac{{{\theta }_{1}}-{{\theta }_{2}}}{t}=k\left[ \frac{{{\theta }_{1}}+{{\theta }_{2}}}{2}-{{\theta }_{0}} \right]\] Initially, \[\frac{(80-64)}{5}=K\,\left( \frac{80+64}{2}-{{\theta }_{0}} \right)\] Þ \[3.2=K[72-{{\theta }_{0}}]\] ... (i) Finally \[\frac{(64-52)}{10}=K\,\left[ \frac{64+52}{2}-{{\theta }_{0}} \right]\] Þ \[1.2=K[58-{{\theta }_{0}}]\]... (ii) On solving equation (i) and (ii) \[{{\theta }_{0}}=49{}^\circ C\].
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