JEE Mains · Physics · STD 11 - 10.1, thermonetry,thermal expansion and calorimetry
A thermometer graduated according to a linear scale reads a value \(x_0\) when in contact with boiling water, and \(x_0/3\) when in contact with ice. What is the temperature of an object in \({}^oC\), if this thermometer in the contact with the object reads \(x_0/2\) ?
- A \(25\)
- B \(60\)
- C \(40\)
- D \(35\)
Answer & Solution
Correct Answer
(A) \(25\)
Step-by-step Solution
Detailed explanation
\(t = \frac{{{x_t} - {x_0}}}{{{x_{100}} - {x_0}}}{100^ \circ }C\) \(\frac{{\frac{{{x_0}}}{2} - \frac{{{x_0}}}{3}}}{{x - \frac{{{x_0}}}{3}}}{100^ \circ }C\) \( = {25^ \circ }C\)
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