Answer:

Analytical balance is a laboratory instrument used to measure the mass of a substance with high precision. The uncertainty in measurement of an analytical balance is an important factor to consider when reporting the result of a measurement. In this case, the uncertainty in measurement is ±1 mg, and the weight of the compound is 10 grams.

Percentage uncertainty in measurement:

Percentage uncertainty = (uncertainty in measurement / measured value) x 100

Substituting the values, we get:

Percentage uncertainty = (1 mg / 10 g) x 100

= 0.01%

Therefore, the result in terms of percentage would be 10 ± 0.01%.

Explanation:

The uncertainty in measurement of an analytical balance is usually expressed in terms of the smallest division on the scale. In this case, the smallest division on the scale is 1 mg. Therefore, the uncertainty in measurement is ±1 mg.

To express the uncertainty in terms of percentage, we need to divide the uncertainty by the measured value and multiply by 100. In this case, the measured value is 10 g.

The result in terms of percentage is important because it gives an indication of the precision of the measurement. The smaller the percentage uncertainty, the more precise the measurement. In this case, the percentage uncertainty is very small (0.01%), indicating that the measurement is very precise.

Conclusion:

The correct answer is (b) 10 ± 0.01%. It is important to report the result of a measurement with the appropriate level of precision and uncertainty. In this case, the analytical balance has an uncertainty of ±1 mg, which results in a percentage uncertainty of 0.01%.

Percentage error = error/actual value *100First convert mg into g then put value in above formula