Question

Suppose you measure three numbers as follows:
x= 200+-2
y= 50+-2
z=40+-2

where the three uncertainties are independent and random. Use step by step propagation to find the quantity q=x/(y-z) with its uncertainty.

Answer 1

\[\frac{∆q}{q}=\frac{∆x}{x} + \frac{∆(y-z)}{(y-z)}\]

Because during multiplication or division relative errors get added