find the total error in sum Z=A+B
A=1.23 +/- 0.03
B=1.23 +/- 0.01
Answers
we have to find the total error in the sum , Z = A + B, where A = 1.23 ± 0.03 and B = 1.23 ± 0.01
solution : we know, when two quantities are added or subtracted, the absolute error in the final result is the sum of absolute errors of individual quantities.
i.e., Z ± ∆Z = (A + B) ± (∆A + ∆B)
here A = 1.23 ± 0.03 and B = 1.23 ± 0.01
so, Z ± ∆Z = (1.23 + 1.23) ± (0.03 + 0.01)
= 2.46 ± 0.04
Therefore total error in the sum of A and B is 0.04
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