Question

If x = a – b, then the maximum percentage error in the
measurement of x will be
(a)(∆a/a + ∆b/b) × 100% (b)(∆a/a - ∆b/b) 100%
(c) (∆a/a-b + ∆b/a - b) × 100%
(d) (∆a/a-b - ∆b/a - b) ×100%

Answer 1

Answer:

100%

Explanation:

Maximum absolute error is Δa+Δb.

Therefore the percentage error =

actual error

absolute error

×100

∴ Percentage error =(

a−b

Δa

+

a−b

Δb

)×100%

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