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Q.

A faulty thermometer has its fixed points marked as 3° and 102°. The temperature of a body as measured by the faulty thermometer is 80°. Find the correct temperature of the body on Celsius scale.

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a

25.8°C

b

77.8°C

c

66.8°C

d

36.5°C

answer is B.

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Detailed Solution

Faulty (F) celsius (C)
$\begin{array}{ll} LFP ⟶ 3^{0} 0^{\circ} C \\ UFP ⟶ 102^{\circ} 100^{\circ} C \\ body ⟶ 80^{\circ} C = ? \end{array}$
we have ${(\frac{x - LFP}{UFP - LFP})}_{F} = {(\frac{x - LFP}{UFP - LFP})}_{C}$
$\frac{80 - 3}{102 - 3} = \frac{C - 0}{100 - 0} \Rightarrow C = 77 {.8}^{\circ} C$

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A faulty thermometer has its fixed points marked as 3° and 102°. The temperature of a body as measured by the faulty thermometer is 80°. Find the correct temperature of the body on Celsius scale.