Practicing Success
In an experiment four quantities a, b, c and d are measured with percentage error 1%, 2%, 3% and 4% respectively. Quantity P is calculated as follows P = \(\frac{a^3b^2}{cd}\). % error in P is : |
4% 14% 10% 7% |
14% |
\(P = \frac{a^3b^2}{cd} \) \(\frac{\Delta P}{P} = \pm 3\frac{\Delta a}{a} + 2\frac{\Delta b}{b} + \frac{\Delta c}{c} + \frac{\Delta d}{d}\) \(\frac{\Delta P}{P} = \pm (3(1) + 2(2) + 3 + 4)\) \(\frac{\Delta P}{P} = \pm 14% \)
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