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A thermometer with a linear scale reads x0 when placed in boiling water and x0/3 when placed in ice. If, in contact with an object, it reads x0/2, what is the object's temperature in deg C?

1. 35
2. 25
3. 60
4. 40

Correct answer: 25

Solution

Linearly interpolating between x0/3 (0 deg C) and x0 (100 deg C), a reading of x0/2 corresponds to T = 100*(x0/2 - x0/3)/(x0 - x0/3) = 25 deg C.

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