Units and Measurements
269120
If\(L=(20 \pm 0.01) \mathrm{m}\) and \(B=(10 \pm 0.02) \mathrm{m}\) then \(L / B\) is
1 \((2 \pm 0.03) \mathrm{m}\)
2 \((2 \pm 0.015) \mathrm{m}\)
3 \((2 \pm 0.01) m\)
4 \((2 \pm 0.005) \mathrm{m}\)
Explanation:
\(\frac{\Delta x}{x}=\frac{\Delta L}{L}+\frac{\Delta B}{B} \Rightarrow \Delta x=x\left[\frac{\Delta L}{L}+\frac{\Delta B}{B}\right]\)
\(=\frac{20}{10}\left[\frac{0.01}{20}+\frac{0.02}{10}\right]\)
\(x \pm \Delta x=(2 \pm 0.005) m\)