Metrology: Comparator Offsets and Linear Calibration

Metrology: Comparator Offsets and Linear Calibration

Original quantitative topic practice in English. All 24 questions are included in a shuffled order. Each question supplies its own data and model assumptions; use only those assumptions. Choose one answer. Practice target: 20/24, not an official examination pass mark. Keep full intermediate precision. These exercises cover the calculation scope in the title; they do not constitute a full Red Seal examination, trade qualification, site design or operating specification.
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A classroom comparator follows the supplied linear model I=a×L+b, with I the indicated dimension and L the true dimension. At true 10 mm it indicates 10.12 mm; at true 50 mm it indicates 50.52 mm. A part indicates 30.32 mm. Use the two calibration points exactly; uncertainty and real instrument nonlinearity are outside this exercise. Calculate the corrected part dimension in mm. Keep intermediate values unrounded; round the final answer to 4 decimal places if needed.