In an experiment, four quantities a, b, c and d are measured with percentage errors 1%, 2%, 3% and 4% respectively. Quantity P is calculated as P = a³b²/(cd). Percentage error in P is:
Options

Question

In an experiment, four quantities a, b, c and d are measured with percentage errors 1%, 2%, 3% and 4% respectively. Quantity P is calculated as P = a³b²/(cd). Percentage error in P is:

G1 Physics · Accepted Answer

Step 1: Maximum percentage error = 3(1%) + 2(2%) + 1(3%) + 1(4%) = 3+4+3+4 =14%. Final: Hence option A.