In an experiment, four quantities a, b, c, d are measured with percentage errors 2 %, 1 %, 3 % and 5 %, respectively. Quantity P is measured as P= a^2 b^2 c d . Find the percentage error in measuring P .

Step-by-step solution

Given, % error in a, b, c and d are 2 %, 1 %, 3 % and 5 % , respectively, and P= a^2 b^2 c d By using concept of percentage error, aligned P P % & = 2 a a + 2 b b + c c + d d P P % & =2 2+2 1+3+5 & =4+2+3+5 & =14 % aligned