JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
A cylindrical wire of mass \((0.4 \pm 0.01)\,g\) has length \((8 \pm 0.04)\,cm\) and radius \((6 \pm 0.03)\,mm\).The maximum error in its density will be \(......\,\%\)
- A 1
- B 3.5
- C 4
- D 5
Answer & Solution
Correct Answer
(C) 4
Step-by-step Solution
Detailed explanation
\(\rho=\frac{ m }{\pi r ^2 l} \Rightarrow\left|\frac{ d \rho}{\rho}\right|_{\max }=\left|\frac{ dm }{ m }\right|+2\left|\frac{ dr }{ r }\right|+\left|\frac{ d l}{l}\right|\) \(=\frac{0.01}{0.4}+\frac{2(0.03)}{6}+\frac{0.04}{8}\)…
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