Question

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

• A. $0.4\%$
• B. $0.5\%$
• C. $0.2\%$
• D. $0.1\%$

Answer 1

The correct option is C $0.2\%$

Given:Length of the cylinder $=l=4.28cm$

Error$=\Delta l=0.01cm$

Percentage error$=\frac{\Delta l}{l}\times 100$

$=\frac{0.01}{4.28}\times 100=0.234\approx 0.2\%$