For quantities and measured with absolute uncertainties and

PHYSICS · Single correct · CBSE · Physics · Units and Measurements · Units and Measurements

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}