The length of a uniform rod is $100.0 \,cm$ and radius is $1.00 \,cm$. If length is measured with a meter rod having least count $1 \,mm$ and radius is measured with vernier callipers having least count $0.1 \,mm$, the percentage error in calculated volume of cylinder is ............. $\%$
$2.1$
$3$
$2.01$
$3.2$
An experiment measures quantities $a, b$ and $c$, and quantity $X$ is calculated from $X=a b^{2} / c^{3}$. If the percentage error in $a$, $b$ and $c$ are $\pm 1 \%, \pm 3 \%$ and $\pm 2 \%$, respectively, then the percentage error in $X$ will be
What is estimation of error ? Write method for estimation.
The mass and volume of a body are found to be $(5.00 ± 0.05)\,kg$ and $(1.00 ± 0.05)\,m^3$ respectively. Then the maximum possible percentage error in its density is .......... $\%$
The relative error in the measurement of the side of a cube is $0.027$. The relative error in the measurement of its volume is ..........
Find the relative error in $Z,$ if $Z=\frac{A^{4} B^{1 / 3}}{ C D^{3 / 2}}$