Metrology: Vernier Resolution and Signed Zero Correction

Metrology: Vernier Resolution and Signed Zero Correction

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 direct vernier has 50 equal vernier divisions spanning 49 mm; the main scale is 1 mm per division. At one reading the last whole main-scale mark is 31 mm and vernier line 13 aligns. When closed, the instrument indicates a positive zero error of 0.04 mm. Corrected value = indicated value minus zero error. This is a numerical reading exercise with no image. Calculate the length of one vernier division in mm. Keep intermediate values unrounded; round the final answer to 4 decimal places if needed.