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Thermometer A and B have ice point marked at 15° and 25° and steam points a 75° and 125° respectively. When thermo-meter A measures the temperature of a bath as 60°, the reading of B for the same bath is
Explanation
To find the reading on thermometer B, we use the principle of linear calibration between two temperature scales. The relationship is defined by the formula: (Reading - Ice Point) / (Steam Point - Ice Point) = Constant [t1][t2]. For thermometer A, the ice point is 15° and the steam point is 75°, giving a range of 60 units. When A reads 60°, its position on the scale is (60 - 15) / (75 - 15) = 45/60 = 3/4 [t3][t5]. For thermometer B, the ice point is 25° and the steam point is 125°, giving a range of 100 units. Applying the same proportion (3/4) to thermometer B: Reading B = 25 + (3/4 * 100) = 25 + 75 = 100° [t5]. Thus, when thermometer A measures 60°, thermometer B will read 100°.
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