A physical quantity x is calculated from the relation x = a 2 b 3 c d . If percentage error in a , b , c and d are 2 % , 1 % , 3 % and 4 % , respectively. What is the percentage error in x ?

Question

A physical quantity x is calculated from the relation x = a 2 b 3 c d . If percentage error in a , b , c and d are 2 % , 1 % , 3 % and 4 % , respectively. What is the percentage error in x ?, ± 11 %, ± 13 %, ± 12 %, ± 14 %

MARKS App · Accepted Answer

∆ X X = ± 2 ∆ a a + 3 ∆ b b + ∆ c c + ∆ d 2 d = ± 2 × 2 + 3 × 1 + 3 + 1 2 × 4 = ± 12 %

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