A platinum resistance thermometer has a resistance 4\(\Omega\) at 0°C and 10\(\Omega\) at 100°C. Assuming...
PHYSICS
WAEC 2003
A platinum resistance thermometer has a resistance 4\(\Omega\) at 0°C and 10\(\Omega\) at 100°C. Assuming the resistance changes uniformly with temperature. Calculate the resistance of the thermometer when the temperature is 45°C.
- A. 14.0\(\Omega\)
- B. 6.7\(\Omega\)
- C. 3.2\(\Omega\)
- D. 2.7\(\Omega\)
Correct Answer: B. 6.7\(\Omega\)
Explanation
\(\frac{R - 4}{10 - 4} = \frac{45 - 0}{100 - 0}\)
R = \(\frac{670}{100} = 6.7\Omega\)
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