The formula for the physical quantity is P = x ^3 y z ^2 and the percentage error in the determination of physical quantities x, y, z are 0.6 %, 3 % and 1.3 % respectively. The percentage error in the measurement of P is

Step-by-step solution

The physical quantity is given as P = x^3 y z^2 or equivalently P = x^3 y^1 z⁻² . For quantities involving products and powers, the maximum percentage error is given by: |3 x x + 1 y y + 2 z z | 100 % with the measured percentage errors x x 100 % = 0.6 % , y y 100 % = 3 % , and z z 100 % = 1.3 % . Substituting these values: P P 100 % = 3(0.6 %) + 1(3 %) + 2(1.3 %) = 1.8 % + 3 % + 2.6 % = 7.4 % The percentage error in P is 7.4 % , corresponding to option D .