Q81 / 90 · JEE Main 2023 (30 Jan Shift 2) · Physics

A faulty thermometer reads $5 ° C$ in melting ice and $95 ° C$ in steam. The correct temperature on absolute scale will be ______ $K$ when the faulty thermometer reads $41 ° C$ .

Correct answer: 313

Solution

As per working of thermometers, $\frac{X - L F P}{U F P - L F P} = constant$ .

Therefore, we can write

$\frac{41 ° - 5 °}{95 ° - 5 °} = \frac{C - 0 °}{100 ° - 0 °}$

$\Rightarrow C = \frac{36}{90} \times 100 = 40 ° C = 40 + 273 K = 313 K$

Hence, the correct answer is 313.