A) \[{{100}^{o}}C\]
B) \[{{300}^{o}}C\]
C) \[{{400}^{o}}C\]
D) \[{{500}^{o}}C\]
Correct Answer: C
Solution :
Key Idea: At the temperature of inversion, the thermo emf is zero. Let temperature of cold junction be \[{{0}^{o}}C\] and that of hot junction be \[{{T}^{o}}C\]. The relation for thermo emf is given by \[E=AT-\frac{1}{2}B{{T}^{2}}\] Given, \[A=16,\,\,B=0.08\] \[\therefore \] \[E=16\,T-\frac{1}{2}\times 0.08\times {{T}^{2}}\] Since, at temperature of inversion emf is zero, we have \[0=16\,T-0.04{{T}^{2}}\] \[\Rightarrow \] \[T=\frac{16}{0.04}={{400}^{o}}C\]
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