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In this question, we are comparing the precision of different measurements taken using a meter scale with a least count of 1mm. The precision of a measurement refers to the degree of exactness or detail that can be achieved.
Option 1: 0.50 mm
This measurement has a precision of 0.50 mm. It is more precise than the least count of the meter scale, but less precise than the other options.
Option 2: 29.07 cm
This measurement has a precision of 0.01 cm or 0.1 mm. It is less precise than the least count of the meter scale and less precise than option 1.
Option 3: 0.925 m
This measurement has a precision of 0.001 m or 1 mm. It is more precise than the least count of the meter scale and more precise than the other options.
Option 4: 910 mm
This measurement has a precision of 1 mm. It is more precise than the least count of the meter scale and less precise than option 3.
Therefore, option 3 (0.925 m) is the most precise measurement out of the given options. The precision is determined by the number of decimal places in the measurement.