Final answer:
The measurement that is within the accepted range of 26.86 g ±0.02 g on a balance is 26.87 g. This is because it falls within the range defined by the balance's precision.
Step-by-step explanation:
The precision of a balance is ±0.02 g. The accepted value for a measurement is 26.86 g. When we account for the balance's precision, any measurement that falls within the range of 26.84 g to 26.88 g is considered within the accepted range due to the uncertainty of ±0.02 g around the accepted value. Looking at the options provided:
- Option a) 26.02 g is not within the accepted range
- Option b) 26.82 g is just below the accepted range
- Option c) 26.87 g is within the accepted range
- Option d) 26.90 g is above the accepted range
Therefore, the measurement that is within the accepted range is 26.87 g.