The density of a cube is measured by measuring its mass and length of its sides. The percentage error in the measurement of mass and length are $5 \%$ and $6 \%$ respectively. The percentage error in the measurement of density is (in $\%$)

The current-voltage relation of a diode is given by $I = (e^{1000V/T} - 1) \text{ mA}$,where the applied voltage $V$ is in volts and the temperature $T$ is in Kelvin. If a student makes an error of $\pm 0.01 \text{ V}$ while measuring the voltage to obtain a current of $5 \text{ mA}$ at $300 \text{ K}$,what will be the error in the value of current in $\text{mA}$?

If potential $V = 100 \pm 0.5\,V$ and current $I = 10 \pm 0.2\,A$ are given,what will be the value of resistance?

The percentage error in the measurement of mass and velocity are $3 \%$ and $4 \%$ respectively. The percentage error in the measurement of kinetic energy is (in $\%$)

The radius of a sphere is $(5.3 \pm 0.1) \, cm$. The percentage error in its volume is

$A$ body of mass $(5 \pm 0.5) \ kg$ is moving with a velocity of $(20 \pm 0.4) \ m/s$. Its kinetic energy will be