TS EAMCET · Physics · Thermal Properties of Matter
The temperature of a body shown by a faulty Celsius thermometer is \(49^{\circ} \mathrm{C}\) and by a correct Fahrenheit thermometer is \(122^{\circ} \mathrm{F}\). The correction to be applied to the faulty thermometer is
- A \(-12^{\circ} \mathrm{C}\)
- B \(+1^{\circ} \mathrm{C}\)
- C \(+12^{\circ} \mathrm{C}\)
- D \(-1^{\circ} \mathrm{C}\)
Answer & Solution
Correct Answer
(B) \(+1^{\circ} \mathrm{C}\)
Step-by-step Solution
Detailed explanation
\(T_{C} = \frac{5}{9}(T_{F} - 32)\) \(T_{C, correct} = \frac{5}{9}(122 - 32) = \frac{5}{9}(90) = 50^{\circ} \mathrm{C}\) \(Correction = T_{C, correct} - T_{C, faulty}\) \(Correction = 50^{\circ} \mathrm{C} - 49^{\circ} \mathrm{C} = +1^{\circ} \mathrm{C}\)
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