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 $\pm 13\%$

Hence, The percentage error in xx can be, $=13\%$