Kelvi

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:

hard

Units and Measurements

2023

physics

1.2%

1.3%

1.6%

1.4%

Explanation

To find the maximum possible percentage error in the measurement of density, we first need to understand the formula for density. $\\$ The density $\rho$ of a wire is given by: $\\ \rho = \frac{m}{V} \\$

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A metal wire has mass (0.4±0.002) (0.4 \pm 0.002) (0.4±0.002) g, radius (0.3±0.001) (0.3 \pm 0.001) (0.3±0.001) mm and length (5±0.02) (5 \pm 0.02) (5±0.02) cm. The maximum possible percentage error in the measurement of density will nearly be:

Explanation

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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: