In an experiment, the percentage of error occurred in the measurement of physical quantities A ,   B ,   C and D are 1%, 2%, 3% and 4%, respectively. Then the maximum percentage of error in the measurement X , where X = A 2 B 1 2 C 1 3 D 3 will be

Step-by-step solution

Given: Percentage error in A , B , C and D is 1 % , 2 % , 3 % and 4 % , respectively. The maximum percentage error in X is given by, ∆ X X × 100 = 2 ∆ A A × 100 + 1 2 ∆ B B × 100 + 1 3 ∆ C C × 100 + 3 ∆ D D × 100 ∆ X X × 100 = 2 × 1 + 1 2 × 2 + 1 3 × 3 + 3 × 4 ∆ X X × 100 = 16 % . will be the maximum percentage error in X .