First slide

Accuracy; precision of instruments and errors in measurements

Question

If the length of a cylinder is measured to be 4.28cm with an error of 0.01cm, the percentage error in the measured length is nearly.

Moderate

A

0.4%
B

0.5%
C

0.2%
D

0.1%

Solution

$l e n g t h o f c y l i n d e r m e a s u r e d i s l = 4.28 c m e r r o r i s Δ l = 0.01 c m p e r c e n t a g e e r r o r = \frac{Δ l}{l} \times 100 s u b s t i t u t e g i v e n v a l u e s p e r c e n t a g e e r r o r = \frac{0.01}{4.28} \times 100 p e r c e n t a g e e r r o r = \frac{100}{428} = 0.23 p e r c e n t a g e e r r o r i n m e a s u r e d l e n g t h = 0.2 %$

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