Question Detail

PHY 101 Physical Quantities, Units, and Dimensions Objective Question

Question

In the context of combining uncertainties, what is the absolute uncertainty in the sum of two lengths, (2.5 ± 0.1) m and (3.0 ± 0.2) m?
Options
A 0.15 m
B 0.2 m
C 0.3 m
Correct Answer
D 0.5 m
Correct Answer

Option C is the correct answer.

Detailed Explanation

According to the sum rule for uncertainties, when adding measurements, the combined absolute uncertainty is the sum of the individual absolute uncertainties. Therefore, Δz = Δx + Δy = 0.1 m + 0.2 m = 0.3 m.

Hint

When adding or subtracting quantities, the absolute uncertainties add up.

Question Info