Two thermometers X and Y have ice points marked at 15^o and 25^o and steam points marked as 75^o and

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10-1.Thermometry, Thermal Expansion and Calorimetry

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Two thermometers $X$ and $Y$ have ice points marked at $15^o$ and $25^o$ and steam points marked as $75^o$ and $125^o$ respectively. When thermometer $X$ measures the temperature of a bath as $60^o$ on it, ........ $^oC$ would thermometer $Y$ read when it is used to measure the temperature of the same bath ?

$60$

$75$

$100$

$90$

Solution

$\frac{\mathrm{x}-\mathrm{x}_{\mathrm{L}}}{\mathrm{x}_{\mathrm{U}}-\mathrm{x}_{\mathrm{L}}}=\frac{\mathrm{y}-\mathrm{y}_{\mathrm{L}}}{\mathrm{y}_{\mathrm{U}}-\mathrm{y}_{\mathrm{L}}}$

$\Rightarrow \frac{60-15}{75-15}=\frac{y-25}{125-25}$

$\Rightarrow \frac{45}{60}=\frac{y-25}{100}$

$\Rightarrow \mathrm{y}=100^{\circ} \mathrm{C}$

Standard 11

Physics

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Solution

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