Question

What do you mean by propagation of error? Explain the propagation of error in addition and multiplication.

Answer 1

Explanation:

Example :- F = ma , for finding error in F. we take, ∆F/F = ∆m/m + ∆a/a , this process is not other than propagation error . Propagation error in addition : when any function y is given in such a way that it is sum of two variable x and z then, error in y can be measured by.In statistics, propagation of uncertainty (or propagation of error) is the effect of variables' uncertainties (or errors, more specifically random errors) on the uncertainty of a function based on them. ... The value of a quantity and its error are then expressed as an interval x ± u.

The same rule holds for multiplication, division, or combinations, namely add all the relative errors to get the relative error in the result. Example: w = (4.52 ± 0.02) cm, x = (2.0 ± 0.2) cm. Find z = w x and its uncertainty.

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Answer 2

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