A platinum resistance thermometer records 3.0\(\Omega\) at 0oC and 8.0\(\Omega\) at 100oC. If it records...

JAMB 1998

A platinum resistance thermometer records 3.0\(\Omega\) at 0^oC and 8.0\(\Omega\) at 100^oC. If it records 6.0\(\Omega\) in a certain environment, The temperature of the medium is

A. 80^oC
B. 60^oC
C. 50^oC
D. 30^oC

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Correct Answer: Option B

Explanation

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

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

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

\(\frac{6 - 3}{8 - 3}\) = \(\frac{\theta - 0}{100 - 0}\)

therefore, \(\theta\) = 60^oC

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