Question 222: Units , Dimensions and Error Analysis

Question

For $$z = {a^2}{x^3}{y^{{1 \over 2}}}$$, where 'a' is a constant. If percentage error in measurement of 'x' and 'y' are 4% and 12% respectively, then the percentage error for 'z' will be _______________%.

Accepted Answer

% error in $$z = 3 	imes 4 + {1 \over 2} 	imes 12$$
$$ = 12 + 6 = 18\% $$

Units , Dimensions and Error Analysis

For $z = {a^2}{x^3}{y^{{1 \over 2}}}$, where 'a' is a constant. If percentage error in measurement of 'x' and 'y' are 4% and 12% respectively, then the percentage error for 'z' will be _______________%.

Integer / Numeric Answer Type