Chapter 2, Problem 17STP

Interpretation Introduction

Interpretation:

The percent error of the student should be determined.

Concept introduction:

Percent error is the value of error in percent. It can be defined as the percent difference between the measured and known value. The calculation percent error can be done by dividing the difference with the known value and multiplied by 100%.  The formula for the calculation of the percent error is as follows:

$\text{Percent error = }\frac{\text{Measured value}-\text{Known value}}{\text{Known value}}\times 100\%$

Answer to Problem 17STP

Option (A) 0.468%

Explanation of Solution

The accepted value is 427 years, the measured value is 425 years. So, the percentage error is:

$\begin{array}{c}\text{Percent error = }\frac{\text{427}-\text{425}}{\text{427}}\times 100\%\\ \text{Percent error = }\frac{2}{\text{427}}\times 100\%\\ =0.468\%\end{array}$

Hence, the correct answer is Option (A).

Conclusion

The correct value of the percent error is 0.468%, hence, the option (B), (C), (D), and (E) are incorrect.