The diameter of a given wire is measured by a screw gauze. The three measurements of the diameter give the reading in cm as 0.036, 0.035 and 0.037. What is the percentage error of the measurement?

Question

The diameter of a given wire is measured by a screw gauze. The three measurements of the diameter give the reading in cm as 0.036, 0.035 and 0.037. What is the percentage error of the measurement? (A) 1.8% (B) 2.8% (C) 3.2% (D) 4.6%

Tardigrade Admin · Accepted Answer

Mean measurement of wire =(0.036+0.035+0.037/3)=0.036 cm Taking 0,036 cm as the true value, the absolute errors (true value - measured value) in the three readings taken are 0.036-0.036=0.036-0.035=0.001 cm 0.036-0.037=-0.001 cm The (maximum) mean absolute error is δ d max =(0+001+0.001/3)=0.00066 cm The percentage error is =(0.00066/0.036) × 100=1.8 %

Q. The diameter of a given wire is measured by a screw gauze. The three measurements of the diameter give the reading in cm as 0.036,0.035 and 0.037. What is the percentage error of the measurement?

1.8%

2.8%

3.2%

4.6%

Q. The diameter of a given wire is measured by a screw gauze. The three measurements of the diameter give the reading in $c m$ as $0.036, 0.035$ and $0.037$ . What is the percentage error of the measurement?