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What is the percentage error in the physical quantity A If it is related to four other physical quantities a , b , c and d as A = a 2 b 3 d c ? The percentage error in measurement of a , b , c and d are 1 % , 3 % , 2 % and 1 % respectively.

Correct answer

13.00

Step-by-step solution

Percentage error in A = 2 Δ a a + 3 Δ b b + 1 2 Δ c c + Δ d d = 2 × 1 + 3 × 3 + 1 2 × 2 + 1 × 1 % = 13 %

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