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Question:

In an experiment, the resistance of a material is plotted as a function of temperature (in some range). As shown in the figure, it is a straight line. One may conclude that :

R(T)=R0e⁻T²/T0²

R(T)=T0/T²

R(T)=R0e⁻T0²/T²

R(T)=R0eT²/T0²

Solution:

Correct option is C. R(T)=R0e⁻T0²/T²
1/T² = 1/T0² + ㏑(T)/㏑R(T0) = 1 ⇒㏑R(T) = [㏑R(T0)](1 - T0²/T²) ⇒R(T)=R0e⁻(T0²/T²)