Question

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

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

Answer 1

Answer: (A)

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