A) \[{{960}^{o}}C\]
B) \[{{1050}^{o}}C\]
C) \[{{1275}^{o}}C\]
D) \[{{1545}^{o}}C\]
Correct Answer: A
Solution :
Let the temperature of molten metal is \[{{t}^{o}}C.\] The thermo-emf \[e=10\times {{10}^{-6}}t\,\,volt\] Current in the circuit \[i=\frac{e}{R+{{R}_{G}}}=\frac{{{10}^{-5}}t}{8+1.6}=\frac{{{10}^{-5}}t}{9.6}\,amp.\] But \[i=\frac{V}{{{R}_{G}}}=\frac{8\times {{10}^{-3}}}{8}\] \ \[\frac{{{10}^{-5}}t}{9.6}=\frac{8\times {{10}^{-3}}}{8}\]or \[t=\frac{9.6\times {{10}^{-3}}}{{{10}^{-5}}}={{960}^{o}}C\]
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