Physics

# A wire has a mass $0.3 \pm 0.003 \ g$ and length $6 \pm 0.06 \ cm$. The maximum percentage error in the measurements of its linear mass density is:-

4

##### SOLUTION
Mass $=0.3\pm0.003g$
Length$=6\pm0.06cm$
$\rho=\cfrac{m}{V}$
$density=\cfrac{mass}{volume}$
Fr a cylinder it be ___ mass$\div(P\pi\times radius^2\times length)$
Relative percent errors for mass $=0.003\div\times100\\=1\%$
$Radius^2=2\times0.005\div0.5\times100\\ \quad=2\%$
Length$=0.06\div0.6\times100\\=1\%$
Maximum percentage error in density$=1\%+2\%+1\%\\=4\%$

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Single Correct Medium Published on 18th 08, 2020
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