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A faulty thermometer has its fixed points marked as 2⁰ and 112⁰. The temperature of a body as measured by the faulty thermometer is 57⁰. Find the correct temperature of the body on Celsius scale.

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$36 . 5^{0} C$

$50^{0} C$

$77 . 8^{0} C$

$40^{0} C$

answer is C.

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Detailed Solution

$\frac{θ - LFP}{UFP - LFP} = \frac{C}{100}$

$\Rightarrow C = (\frac{θ - LFP}{UFP - LFP}) \times 100 = (\frac{57 - 2}{112 - 2}) \times 100 = 50^{0} C$

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