Question

A silver wire has a mass $(0.6 \overset{+}{-} 0.006)$ g, radius $(0.5 \overset{+}{-} 0.005)$ mm and length $(4 \overset{+}{-} 0.04)$ cm. The maximum percentage error in the measurement of its density will be

• A. 4%
• B. 3%
• C. 6%
• D. 7%

Answer 1

Answer: (A)

4%

Answer 2

$\rho = \frac{m}{v} = \frac{m}{\pi r^2 \times l}$

∴ Percentage error in

$ρ = \bigg(\frac{0.006}{0.6}+2\times \frac{0.005}{0.5}+\frac{0.04}{4}\bigg)\times 100$

= $4 \%$