A) \[100{}^\circ C\]
B) \[300{}^\circ C\]
C) \[400{}^\circ C\]
D) \[500{}^\circ C\]
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, \[A=16,\,\,B=0.08\] \[\therefore \] \[E=16T-\frac{1}{2}\times 0.08\times {{T}^{2}}\] 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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