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Q. A faulty thermometer reads $5^{\circ} C$ in melting ice and $95^{\circ} C$ in stream. The correct temperature on absolute scale will be_______ $K$ when the faulty thermometer reads $41^{\circ} C$.

JEE MainJEE Main 2023Thermal Properties of Matter

Solution:

$ \frac{41^{\circ}-5^{\circ}}{95^{\circ}-5^{\circ}}=\frac{ C -0^{\circ}}{100^{\circ}-0^{\circ}} $
$ \Rightarrow C =\frac{36}{90} \times 100=40^{\circ} C =313\, K $