Question

the leamght of the body is meadured as 3.51 mm.its accurasy is 0.01mm then the percentage error in the measurement is​

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Umapathi9113

20.06.2018

Physics

Secondary School

+15 pts

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The length of a body is measured as 3.51m, if the accuracy is 0.01mm, then the percentage error in the measurement is?

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pranaykumar6

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The length of a body , L = 3.51 m

And accuracy of its length , ∆L = 0.01 mm = 0.01 × 10⁻³ m = 10⁻⁵ m

we know , % error = relative error × 100

or , % error in Length = ∆L/L × 100

Now, % error in Length = 10⁻⁵/3.51 × 100

= 10⁻³/3.51 = 1/3510

= 0.000284

I think question should be given accuracy 0.01m not 0.01mm

well, rule is the % error = relative error × 100

if ∆L = 0.01m and L = 3.51

Then, % error in measurement = 0.01/3.51 × 100 = 1/3.51 = 0.28 %

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