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JAMB Physics 2019 Paper

Question : 65

Total: 100

Solution:

Concept:

A faulty thermometer can still be used by comparing its scale interval with the standard fixed points.

Explanation:

The lower fixed point of the faulty thermometer is

2^\circ\text{C}

, while the upper fixed point is

100^\circ\text{C}

When the thermometer reads

51^\circ\text{C}

, use the relation:

\theta = \frac{\text{reading on faulty thermometer} - \text{lower fixed point}}{\text{upper fixed point} - \text{lower fixed point}} \times 100^\circ\text{C}

Substitute the known values:

\theta = \frac{51 - 2}{100 - 2} \times 100^\circ\text{C}

\theta = \frac{49}{98} \times 100^\circ\text{C}

\theta = \frac{1}{2} \times 100^\circ\text{C}

\theta = 50^\circ\text{C}

Answer:

The true temperature is

50^\circ\text{C}

. Therefore, the correct option is B.

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