Question

In the difference of two quantities (a) maximum absolute error is equal to sum of absolute errors in individual quantities (b) maximum absolute error is equal to difference in absolute errors in individual quantities (c) Either (a) or (b) (d) Neither (a) nor (b)​

Answer 1

Answer:

a

Explanation:

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Answer 2

Correct option is (a)

Explanation:-

(a) maximum absolute error is equal to sum of absolute errors in individual quantities

When 2 quantities are subtracted or added, absolute error within the conclusion is that the total of absolute errors within the individual quantities.

Let us take a example:-

Z = A + B

we've got by addition, 

so now, Z ± ΔZ = (A ± ΔA) + (B ± ΔB)

The maximum potential error in Z

ΔZ = ΔA + ΔB

For the difference Z = A – B, we got

Z ± ΔZ = (A ± ΔA) – (B ± ΔB) = (A – B) ± ΔA ± ΔB

or, ± ΔZ = ± A ± ΔB The Maximum value of the error ΔZ is once again ΔA + ΔB.

Hence proved option (a) is correct.