To find the observed reading on the micrometer screw gauge when the actual diameter of the wire is 0.38 mm and there is a negative error of -0.03 mm, we can use the formula:
\[ \text{Observed Reading} = \text{Actual Measurement} + \text{Error} \]
In this case:
- Actual Measurement = 0.38 mm
- Error = -0.03 mm
Substituting the values:
\[ \text{Observed Reading} = 0.38 \text{ mm} + (-0.03 \text{ mm}) = 0.38 \text{ mm} - 0.03 \text{ mm} = 0.35 \text{ mm} \]
Therefore, the observed reading on the micrometer screw gauge when measuring the diameter of the wire will be 0.35 mm.