Discussion
A platinum resistance thermometer of 100 \( \Omega \) at 0 \( ^\circ \)C has \( \alpha = 0.00385 \) per \( ^\circ \)C. At 100 \( ^\circ \)C its resistance is
Answer: A
Correct answer: 138.5 \( \Omega \)
\[ R = R_0(1+\alpha T) = 100\,(1 + 0.00385\times100) = 100 \times 1.385 = 138.5\ \Omega. \] This is the standard Pt100 characteristic, and 138.5 ohms at 100 degrees is the figure to recognise. Applying the coefficient once rather than over the hundred degrees gives the 103.85 offered.
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