The percentage errors in quantities P , Q , R and S are 0 . 5 % , 1 % , 3 % and 1 . 5 % respectively in the measurement of a physical quantity A= P 3 Q 2 R S . The maximum percentage error in the value of A will be:

Question

The percentage errors in quantities P , Q , R and S are 0 . 5 % , 1 % , 3 % and 1 . 5 % respectively in the measurement of a physical quantity A= P 3 Q 2 R S . The maximum percentage error in the value of A will be:, 6.5 %, 7.5 %, 6.0 %, 8.5 %

MARKS App · Accepted Answer

100 × ∆ A A = 3 ∆ P P + 2 ∆ Q Q + 1 2 ∆ R R + ∆ S S × 100 max % error in A = 3 × 0.5 + 2 × 1 + 1 2 × 3 + 1.5 = 1.5 + 2 + 1.5 + 1.5 = 6.5 %

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