- #1

Aurelius120

- 192

- 20

- Homework Statement
- Given the graph of ##lnR## vs ##T^{-2}##, predict the relationship between resistance and temperature

- Relevant Equations
- NA

From the graph:

$$lnR(T)=\frac{-lnR(0)T^2_○}{T^2}+lnR(0)$$

I have assumed ##R(0)## to be the value of ##R## at ##1/T^2=0## and ##T_○## to be the value of ##T## at ##lnR(T)=0##

From this I get,

$$R(T)=e^{lnR(0)×\left(1-\frac{T_○^2}{T^2}\right)}$$

$$R(T)=R(0)^{\left(1-\frac{T_○^2}{T^2}\right)}$$

This does not match with any of the options.

I couldn't reduce it any of the options either.

Maybe my choice of ##R(0)## and the one in the options refer to different quantities. Even so I could not get to the right answer(given option-c in the book).

Please help