A micrometer screw-gauge is used to measure the diameter of a fine wire

PHYSICS · Subjective · CBSE · Physics · Units and Measurements · Units and Measurements

Problem

A micrometer screw-gauge is used to measure the diameter of a fine wire. The accepted (true) diameter of the wire is 2.740×10−3 m2.740\times10^{-3}\,\text{m}, whereas the instrument gives a single reading of 2.735×10−3 m2.735\times10^{-3}\,\text{m}. (i) Determine the absolute error. (ii) Compute the relative error. (iii) Calculate the percentage error and express it in scientific notation, rounded to the correct number of significant figures. (iv) Comment on whether the error obtained would be considered large or small for precision laboratory work on such a dimension.

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