Question:
In the density measurement of a cube, the mass and edge length are measured as $(10.00 \pm 0.10) \mathrm{kg}$ and $(0.10 \pm 0.01)$ $\mathrm{m}$, respectively. The error in the measurement of density is:
Correct Option: 3
Solution:
(3) $d=\frac{M}{V}=\frac{M}{L^{3}}=M L^{-3}$
$\frac{\Delta d}{d}=\frac{\Delta M}{M}+3 \frac{\Delta L}{L}$
$=\frac{0.10}{10.00}+3\left(\frac{0.01}{0.10}\right)=0.31 \mathrm{kgm}^{-3}$
Click here to get exam-ready with eSaral
For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.