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A platinum resistance thermometer has a resistance 4\(\Omega\) at 0oC and 10\(\Omega\) at 100oC. Assuming...

Physics
WAEC 2003

A platinum resistance thermometer has a resistance 4\(\Omega\) at 0oC and 10\(\Omega\) at 100oC. Assuming the resistance changes uniformly with temperature. Calculate the resistance of the thermometer when the temperature is 45oC.

  • A. 14.0\(\Omega\)
  • B. 6.7\(\Omega\)
  • C. 3.2\(\Omega\)
  • D. 2.7\(\Omega\)
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Correct Answer: Option B
Explanation

\(\frac{R - 4}{10 - 4} = \frac{45 - 0}{100 - 0}\)

R = \(\frac{670}{100} = 6.7\Omega\)

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