Question

A wire is of mass (0.3 ± .003) gm. The radius is (0.5 ± 0.005) cm and length is (6 ± .06) cm. The maximum percentage error in density is –

• A. 3%
• B. 4%
• C. 8%
• D. 16%

Answer 1

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Sol. p = $\frac{m}{\pi r^{2}\mathcal{l}}$

$\frac{\Delta p}{P} \times 100 = \frac{\Delta m}{m} \times 100 + \frac{2\Delta r}{r} \times 100 + \frac{\Delta\mathcal{l}}{\mathcal{l}} \times 100$q