Accuracy of measurement is determined by

Explain the effect of multiplication or division of errors on the final result.

Consider a physical quantity $Z$ expressed as $Z = \frac{A B^{1/2}}{C^2}$. If the relative error in the magnitudes of $A, B,$ and $C$ is $1\%$,then the relative error in $Z$ will be: (in $\%$)

In the density measurement of a cube,the mass and edge length are measured as $(10.00 \pm 0.10) \, kg$ and $(0.10 \pm 0.01) \, m$ respectively. The error in the measurement of density is

$A$ physical quantity $x$ is calculated from the relation $x = \frac{a^2 b^3}{c \sqrt{d}}$. If the percentage errors in $a, b, c,$ and $d$ are $2\%, 1\%, 3\%,$ and $4\%$ respectively,what is the percentage error in $x$?

The percentage error in the measurement of mass and speed of a particular body is $3 \%$ and $4 \%$ respectively. The percentage error in the measurement of kinetic energy is (in $\%$)