The correct reading on the micrometer screw gauge is 5.12 mm.
Here's how to read the measurement:
Micrometer Scale: The main scale on the micrometer (the one with longer graduations) reads 5 mm. This represents the whole millimeters measured by the jaws.
Sleeve: The sleeve has a slanted line that coincides with a line on the main scale. In this case, the slanted line is between the 0 and 1 mm marks on the main scale. Since each small division on the sleeve represents 0.1 mm, this reading is 0.1 mm.
Micrometer Head: The thimble (the rotating part of the micrometer head) has a scale with 50 divisions. Each division represents 0.01 mm (one-hundredth of a millimeter). In the image, the zero mark on the sleeve aligns with the 12th division on the thimble scale. Therefore, the reading from the thimble is 12 x 0.01 mm = 0.12 mm.
Summation: To get the total reading, you add the readings from the main scale (5 mm), the sleeve (0.1 mm), and the thimble (0.12 mm).
Total reading = 5 mm + 0.1 mm + 0.12 mm = 5.22 mm
Since the vernier scale is not visible in the image, we can't account for that final level of precision. Therefore, based on the information available, the most accurate reading we can give is 5.12 mm.