Question Detail
Question
What is the total uncertainty in the product of two quantities, x and y, with uncertainties Δx and Δy?
Correct Answer
Option B is the correct answer.
Detailed Explanation
For a quantity z = xy, the product rule states that the fractional uncertainty in z is the sum of the fractional uncertainties in x and y. This is expressed as Δz/z = Δx/x + Δy/y. Options A, C, and D are either for sums or are not in the correct standard form.
Hint
When multiplying, relative (fractional) uncertainties add, not absolute uncertainties.