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Q.

A faulty thermometer has its fixed points marked as 5° and 95°. The temperature of a body as measured by the faulty thermometer is 59°. Find the correct temperature of the body on Celsius scale.

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answer is 60.

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Detailed Solution

Let θ0 be the lower fixed point of the faulty thermometer and n be the number of divisions between its lower and the upper fixed points. If a temperature C on Celsius scalecorresponds to temperature q on the scale of faulty thermometer, then   C−0100=θ−θ0n   ……..(i)Here, θ0=5∘;n=95−5=90 and θ=59∘Therefore, the Eq. (i) becomesC−0100=59−595−5C=5490×100C=60∘C
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