Question

If absolute error is $0.05$ in for a measured length of $5\, m$. What is the percentage error?

• A. $1 \%$
• B. $2 \%$
• C. $3 \%$
• D. $4 \%$

Answer 1

Answer: (A)

Given, absolute error in length, $\Delta l=0.05 m$
Measured length, $l=5 m$
The fractional error in length $=\frac{\Delta l}{l}$
$\therefore $ Percentage error in length
$=$ Fractional error $\times 100$
$=\frac{\Delta l}{l} \times 100=\frac{0.05}{5} \times 100=1 \%$