Question

The length of a wire is 6.3 m; students measured it as 6.65 m. What is the percentage error?

A) 0.79%
B) 5.56%
C) 6.35%
D) 5.75%

Answer 1

The percentage error is calculated by dividing the absolute error by the accepted value and then multiplying by 100%. In this case, the percentage error is 5.56%.

Step-by-step explanation:

To calculate the percentage error, we use the formula:

Percentage Error = (|Error| / Accepted Value) × 100%

Where the error is the difference between the measured value and the accepted value. In the given question:

• Measured Value = 6.65 m
• Accepted Value = 6.3 m
• Error = Measured Value - Accepted Value = 6.65 m - 6.3 m = 0.35 m

We use these values to find the percentage error:

Percentage Error = (0.35 m / 6.3 m) × 100% = 5.56%

Therefore, the correct answer is B) 5.56%.