The ice and steam points of a thermometer are \(20 mm\) and \(100 mm\) respectively:
A temperature of \(75^{\circ} C\) corresponds to \(Y mm\) on the thermometer. What is \(Y\) ?
A temperature of \(75^{\circ} C\) corresponds to \(Y mm\) on the thermometer. What is \(Y\) ?
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Correct Answer: Option C
Explanation:
\(\Rightarrow \frac{75-0}{100-0}=\frac{\theta-20}{100-20}\);
\(\frac{75}{100}=\frac{\theta-20}{80}\)
\(\theta=\frac{75}{100} \times 80+20\)
\(\theta=80 mm\)
\(\Rightarrow \frac{75-0}{100-0}=\frac{\theta-20}{100-20}\);
\(\frac{75}{100}=\frac{\theta-20}{80}\)
\(\theta=\frac{75}{100} \times 80+20\)
\(\theta=80 mm\)