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:

Step-by-step solution

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