Question

The measured mass and volume of a body are $53.63g$ and $5.8{cm}^3$ respectively, with possible errors of $0.01g$ and $0.1{cm}^3$. The maximum percentage error in density is about:

• A. $0.2\%$
• B. $1.74\%$
• C. $5\%$
• D. $10\%$

Answer 1

Answer: (B)

$1.74\%$

Given: $m=53.63g$ and $V=5.8{cm}^3$

$\Rightarrow density=\frac{mass}{volume}$

So, $\left(\%errorindensity\right)$ $=(\frac{\Delta m}{m}+\frac{\Delta v}{v})\times 100$$=(\frac{0.01}{53.63}+\frac{0.1}{5.8})\times 100$$=1.742\%$