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Question

A faulty thermometer has its fixed points marked at $$5^oC$$ and $$95^oC$$. This thermometer reads the temperature of a body as $$59^oC$$. The correct value is:


A
59oC
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B
8.6oC
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C
60oC
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D
28.89oC
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Solution

The correct option is D $$60^oC$$
$$\begin{array}{l}\dfrac{95-59}{l_{2}}=\dfrac{59-5}{l_{1}} \\\dfrac{46}{l_{2}}=\dfrac{54}{l_{1}}\\\dfrac{l_{2}}{l_{1}}=\dfrac{46}{54}.....(i)\\\dfrac{100-x}{l_{4}}=\dfrac{x-0}{l_{3}}\\\dfrac{l_{4}}{l_{3}}=\dfrac{100-x}{x}......(ii)\end{array}$$

$$\begin{array}{l}\dfrac{l_{2}}{l_{1}}=\dfrac{l_{4}}{l_{3}}-1110 \\\dfrac{46}{54}=\dfrac{100 \cdot x}{x}\\46 x=5400-54 x\end{array}$$


$$\therefore x=60$$

1994620_1387018_ans_05e88b67af024f808c55a89522458f6f.png

Physics

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