Question

A bead is supposed to have a mass of 2.0 grams. When measured, it actually has a mass of 2.1 grams. What is the percent error of the bead's mass?

a) 0.5%
b) 1.0%
c) 5.0%
d) 10.0%

Answer 1

The percent error of the bead's mass is calculated using the formula (|Measured Value - True Value| / True Value) × 100%. The measured mass was 2.1 grams instead of the expected 2.0 grams, resulting in a percent error of 5.0%.

Step-by-step explanation:

To calculate the percent error of the bead's mass, which was expected to be 2.0 grams but actually measured as 2.1 grams, we use the formula for percent error:

Percent Error = (|Measured Value - True Value| / True Value) × 100%

In this case, the true value is 2.0 grams and the measured value is 2.1 grams.

Percent Error = (|2.1g - 2.0g| / 2.0g) × 100%

Percent Error = (0.1g / 2.0g) × 100%

Percent Error = 0.05 × 100%

Percent Error = 5.0%

The correct answer is (c) 5.0%.