JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
A sliver wire has mass \((0.6 \pm 0.006) \; g\), radius \((0.5 \pm 0.005) \; mm\) and length \((4 \pm 0.04) \; cm\). The maximum percentage error in the measurement of its density will be \(......\,\%\)
- A \(4\)
- B \(3\)
- C \(6\)
- D \(7\)
Answer & Solution
Correct Answer
(A) \(4\)
Step-by-step Solution
Detailed explanation
\(M=(0.6 \pm 0.006) \; g\) \(r=(0.5 \pm 0.005) \; mm\) \(l=(4 \pm 0.04) \; cm\) \(\rho=\frac{m}{V}\) \(\Rightarrow \frac{\Delta \rho}{\rho}=\frac{\Delta m}{m}+\frac{2 \Delta r}{r}+\frac{\Delta l}{l}\) (Volume of cylinder \(=\pi r^{2} l\) )…
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