$A$ student in the laboratory measures the thickness of a wire using a screw gauge. The readings are $1.22\,mm$,$1.23\,mm$,$1.19\,mm$,and $1.20\,mm$. The percentage error is $\frac{x}{121}\%$. The value of $x$ is ..............

If the length of rod $A$ is $3.25 \pm 0.01 \,cm$ and that of rod $B$ is $4.19 \pm 0.01 \,cm$,then the rod $B$ is longer than rod $A$ by:

What is the fractional error in $g$ calculated from $T = 2\pi \sqrt {l/g}$? Given fractional errors in $T$ and $l$ are $\pm x$ and $\pm y$ respectively?

$A$ balance is made using a uniform metre scale of mass $100 \ g$ and two plates each of mass $200 \ g$ fixed at the two ends of the scale. The balance is pivoted at the $45 \ cm$ mark. If a $300 \ g$ weight is placed in the plate at $0 \ cm$ to weigh vegetables placed in the plate at $100 \ cm$,what is the error in the measurement (in $g$)?

The density $\rho$ of a uniform cylinder is determined by measuring its mass $m$,length $l$ and diameter $d$. The measured values of $m, l$ and $d$ are $97.42 \pm 0.02 \text{ g}$,$8.35 \pm 0.05 \text{ mm}$ and $20.20 \pm 0.02 \text{ mm}$,respectively. The calculated percentage fractional error in $\rho$ is . . . . . . . (in $\%$)

The maximum error in the measurement of mass and length is $4 \%$ and $3 \%$ respectively. The error in the measurement of density of a cube will be (in $\%$)