Question

A quantity x is calculated from x = a²$\sqrt{\frac{b}{c}}$, If percentage error in a, b, c are ± 1%, ± 2% and ± 3% respectively. The maximum percentage error in x is –

• A. 1.5 %
• B. 4.5 %
• C. 3%
• D. None

Answer 1

Answer: (B)

4.5 %

Answer 2

$\frac{\Delta x}{x} = 2\frac{\Delta a}{a} + \frac{1}{2}\left( \frac{\Delta b}{b} + \frac{\Delta c}{c} \right)$