A quantity P is related as X⁻²Y^ -3/2 Z^ 2/5 where X,Y,Z are independent parameters which have fractional errors of 0.1, 0.2 and 0.5 respectively in measurement. The maximum fractional error in P is

Step-by-step solution

Given P = X⁻²Y^ -3/2 Z^ 2/5 The maximum fractional error in P is given by P P = |-2| X X + |- 3 2 | Y Y + | 2 5 | Z Z Substituting the given fractional errors X X = 0.1 , Y Y = 0.2 , and Z Z = 0.5 : P P = 2(0.1) + 3 2 (0.2) + 2 5 (0.5) P P = 0.2 + 0.3 + 0.2 = 0.7 Answer: 0.7