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A metal wire has mass $(0.4 \pm 0.002)g$, radius $(0.3 \pm 0.001)mm$ and length $(5 \pm 0.02)cm$. The maximum possible percentage error in the measurement of density will nearly be
Explanation
Density, $\rho$ = mass/volume = $M/(\pi r^{2}l)$ $\Delta\rho/\rho = \Delta M/M + 2\Delta r/r + \Delta l/l = (0.002/0.4 + 2 \times 0.001/0.3 + 0.02/5)$ $\Delta\rho/\rho = 0.0156$. % error in density $\Delta\rho/\rho$ % = $1.56\% \approx 1.6\%$