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

Question

Dr. Abubacker · Accepted Answer

[Solution from source] Maximum fractional errors add with powers as weights: ΔP/P = 3(1%) + 2(2%) + 3% + 4% = 3 + 4 + 3 + 4 = 14%. Getting 10% comes from ignoring the powers and just adding the four errors. Answer (1).

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

Explanation

Reviewed by Dr. Abubacker

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