Physics

Problem

For a physical quantity

z

defined as

z = x^{n}

, which one of the following gives the fractional uncertainty

\dfrac{\Delta z}{z}

in terms of the fractional uncertainty of

x

? a)

\left(\dfrac{\Delta x}{x}\right)^{n}

|n|\,\dfrac{x}{\Delta x}

|n|\,\dfrac{\Delta x}{x}

n\,\dfrac{\Delta x}{x}