Question

The density of the material of a cube is measured by measuring its mass and length of its side. If the maximum errors in the measurement of mass and the length are 3% and 2% respectively, the maximum error in the measurement of density is –

• A. 1%
• B. 5%
• C. 7%
• D. 9%

Answer 1

Answer: (D)

9%

Answer 2

d = $\frac{m}{v}$ Ž d = $\frac{m^{1}}{L^{3}}$

$\frac{\Delta d}{d}$ = 1$\left( \frac{\Delta m}{m} \right)$ + 3$\left( \frac{\Delta L}{L} \right)$