Question

An error of $0.02$cm is made in the measurement of a line $10$ cm long, while an error of only $0.2$cm is made in a measurement of a line $100$cm long. In comparison with the relative error of the first measurement, the relative error of the second measurement is:

• A. greater by $0.18$
• B. the same
• C. less
• D. $10$ times as great
• E. correctly described by both (a) and (d)

Answer 1

The correct option is B the same

Relative error = error/measurement.

Since $0.02$ / $10$ =$0.2$ / $100$

Relative error = error/measurement. Since the relative errors are the same..02/10=.2the relative errors are the same.