Practicing Success
A physical quantity x is calculated from x = ab2\(\sqrt{c}\). Calculate the percentage error in measuring x when the percentage errors in measuring a, b and c are 4, 2 and 3% respectively. |
7% 9% 11% 9.5% |
9.5% |
\(\frac{\Delta x}{x}100 = \frac{\Delta a}{a}100 + 2\frac{\Delta b}{b}100 + \frac{1}{2}\frac{\Delta c}{c}100\) \(\frac{\Delta x}{x}100 = [4 + 2*2 + \frac{1}{2}*3]\)% = 9.5% |