Question

The density of a cube is measured by measuring its mass and the length of its side. If the maximum errors in the measurement of mass and length are 4% and 3% respectively, the maximum error in the measurement of the density is

• A. 9%
• B. 13%
• C. 12%
• D. 7%

Answer 1

The correct option is B 13%

$Density,\rho =\frac{Mass}{Volume}=\frac{M}{L^3}$
Thus, maximum error, $\frac{\Delta \rho }{\rho }=\frac{\Delta M}{M}+3\frac{\Delta L}{L}=0.04+3\times 0.03$$=0.13$ or $13\%$