Question

Physical quantity X is related to four measurable quantities (a,b,c,d) as follows x=a2 b3 c5/2 d-2 the percentage error in measurement of a, b, c,d are 1%, 2%,3%, 4% what is the percentage error in x
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Answer 1

Answer:

The fractional error in X is dX/X = 2da/a + 3db/b + 2.5dc/c + 2d(d)/d = 0.235 ≃ 0.24 Since the error is in first decimal, hence the result should be rounded off as 2.8.