Question

In an experiment, we measure quantities $a,b$ and $c$; then $x$ is calculated from the formula $x=\frac{a{b}^2}{c^3}$ . The percentage errors in $a,b$ and $c$ are $\pm 1\%$, $\pm 3\%$ and $\pm 2\%$ respectively. The percentage error in $x$ can be

• A. $\pm 1\%$
• B. $\pm 4\%$
• C. $\pm 7\%$
• D. $\pm 13\%$

Answer 1

The correct option is D $\pm 13\%$

$x=\frac{a^1{b}^2}{c^3}$

Net % error $=(1\times 1$%$)+(2\times 3$%$)+(3\times 2$%$)=\pm 13$%