Physics

Physics

Problem

For quantities

x

and

y

measured with absolute uncertainties

\Delta x

and

\Delta y

, the relative uncertainty in the product

z = xy

is: a)

\displaystyle \frac{\Delta z}{z} = \sqrt{\left(\frac{\Delta x}{x}\right)^2 + \left(\frac{\Delta y}{y}\right)^2}

b)

\displaystyle \frac{\Delta z}{z} = \dfrac{\dfrac{\Delta x}{x} + \dfrac{\Delta y}{y}}{2}

c)

\displaystyle \frac{\Delta z}{z} = \frac{\Delta x}{x} + \frac{\Delta y}{y}

d)

\displaystyle \frac{\Delta z}{z} = \frac{\Delta x}{x}\times\frac{\Delta y}{y}

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