A resistance thermometer has a resistance of 20\(\Omega\) at 0oC and 85\(\Omega\) at 100oC. If...

WAEC 2001

A resistance thermometer has a resistance of 20\(\Omega\) at 0^oC and 85\(\Omega\) at 100^oC. If its resistance is 52\(\Omega\)in a medium, calculate the corresponding temperature

A. 49.2^oC
B. 60.6^oC
C. 80.0^oC
D. 84.7^oC

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Correct Answer: Option A

Explanation

85\(\Omega\) ........100^oC

52\(\Omega\) ........\(\theta\)^oC

20\(\Omega\) ........0^oC

\(\frac{52 - 20}{85 - 20} = \frac{\theta - 0}{100 - 0}\)

\(\theta = \frac{32 \times 100}{65} = 49.2^oC\)

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