JEE Physics · Hard

Errors and Measurements: Calibration Curve MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

Timer-based practiceDetailed answer reviewMobile-friendly flow
Calibration CurveHardQuestion 30197

Question

A thermometer is calibrated by dipping it in ice water (reads 2°C instead of 0°C) and boiling water (reads 98°C instead of 100°C). When it reads 52°C, the true temperature is:
  1. A
    52°C
  2. B
    53.06°C
    Correct
  3. C
    50°C
  4. D
    54°C

Correct answer

53.06°C

Explanation

Scale maps [2,98] → [0,100]. Correction: True = (Reading−2)×(100/96) = 50×(100/96) = 52.08 ≈ 53.06°C. Each 1°C on thermometer = 100/96 ≈ 1.0417 true degrees.