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Thermodynamics — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysicsThermodynamics2 Marks
Question
A newly designed thermometer has its lower fixed point and upper fixed point marked 5°C and 95°C respectively. Compute the temperature on this scale corresponding to 50°C.
✓

Answer

Let $\theta$ be the temperature on the scale corresponding to 50°C, then,
$\frac{\theta-5}{95-5}=\frac{\text{C}-0}{100-0}=\frac{\text{C}}{100}$ or $\frac{\theta-5}{90}$
$=\frac{50}{100}=\frac12$ or $\theta=50^\circ\text{C}$
Thus, the required temperature on the scale of the designed thermometer is 50°C.

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