Question 111:
easy
In an experiment, the percentage error occurring in the measurements of physical quantities \( A \), \( B \) and \( C \) are 1%, 2% and 3% respectively. If a physical quantity \( X \) is such that \( X = \frac{AB^2}{C^3} \), then the percentage error in the calculation of \( X \) can be
By taking systematic errors into account, the relative error can be written with signs: \( \frac{\Delta X}{X} = \pm \frac{\Delta A}{A} \pm 2\frac{\Delta B}{B} \pm 3\frac{\Delta C}{C} \). The minimum absolute error is \( |1 + 4 - 9|\% = 4\% \), so 4% is a possible value.